45185869440 has 640 divisors, whose sum is σ = 172375283520. Its totient is φ = 11287019520.

The previous prime is 45185869363. The next prime is 45185869447. The reversal of 45185869440 is 4496858154.

45185869440 is a `hidden beast` number, since 4 + 5 + 18 + 586 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45185869447) 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 79 ways as a sum of consecutive naturals, for example, 214150935 + ... + 214151145.

Almost surely, 2^45185869440 is an apocalyptic number.

45185869440 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 45185869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86187641760).

45185869440 is an abundant number, since it is smaller than the sum of its proper divisors (127189414080).

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

45185869440 is an frugal number, since it uses more digits than its factorization.

45185869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 45185869440 in words is "forty-five billion, one hundred eighty-five million, eight hundred sixty-nine thousand, four hundred forty".