45655904040 has 128 divisors (see below), whose sum is σ = 137836166400. Its totient is φ = 12097935360.

The previous prime is 45655904033. The next prime is 45655904053. The reversal of 45655904040 is 4040955654.

It is a junction number, because it is equal to n+sod(n) for n = 45655903983 and 45655904001.

It is an unprimeable number.

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, 17338564 + ... + 17341196.

It is an arithmetic number, because the mean of its divisors is an integer number (1076845050).

Almost surely, 2^45655904040 is an apocalyptic number.

45655904040 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 45655904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68918083200).

45655904040 is an abundant number, since it is smaller than the sum of its proper divisors (92180262360).

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

45655904040 is a wasteful number, since it uses less digits than its factorization.

45655904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 45655904040 in words is "forty-five billion, six hundred fifty-five million, nine hundred four thousand, forty".