4153054440 has 128 divisors (see below), whose sum is σ = 13223554560. Its totient is φ = 1039847424.

The previous prime is 4153054439. The next prime is 4153054441. The reversal of 4153054440 is 444503514.

It is an interprime number because it is at equal distance from previous prime (4153054439) and next prime (4153054441).

It is a super-2 number, since 2×4153054440² = 34495722363207427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4153054398 and 4153054407.

It is not an unprimeable number, because it can be changed into a prime (4153054441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942322 + ... + 946718.

It is an arithmetic number, because the mean of its divisors is an integer number (103309020).

Almost surely, 2^4153054440 is an apocalyptic number.

4153054440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611777280).

4153054440 is an abundant number, since it is smaller than the sum of its proper divisors (9070500120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4153054440 is a wasteful number, since it uses less digits than its factorization.

4153054440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4891 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4153054440 is about 64444.1963251929. The cubic root of 4153054440 is about 1607.3947345785.

Adding to 4153054440 its reverse (444503514), we get a palindrome (4597557954).

The spelling of 4153054440 in words is "four billion, one hundred fifty-three million, fifty-four thousand, four hundred forty".