4422451440 has 160 divisors (see below), whose sum is σ = 15238596096. Its totient is φ = 1051847680.

The previous prime is 4422451421. The next prime is 4422451447. The reversal of 4422451440 is 441542244.

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 = 4422451398 and 4422451407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422451447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124117 + ... + 155723.

Almost surely, 2^4422451440 is an apocalyptic number.

4422451440 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 4422451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7619298048).

4422451440 is an abundant number, since it is smaller than the sum of its proper divisors (10816144656).

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

4422451440 is a wasteful number, since it uses less digits than its factorization.

4422451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31687 (or 31681 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4422451440 is about 66501.5145692186. The cubic root of 4422451440 is about 1641.4249265642.

Adding to 4422451440 its reverse (441542244), we get a palindrome (4863993684).

The spelling of 4422451440 in words is "four billion, four hundred twenty-two million, four hundred fifty-one thousand, four hundred forty".