45955607040 has 640 divisors, whose sum is σ = 196416000000. Its totient is φ = 9949298688.

The previous prime is 45955607039. The next prime is 45955607069. The reversal of 45955607040 is 4070655954.

45955607040 is a `hidden beast` number, since 4 + 59 + 556 + 0 + 7 + 0 + 40 = 666.

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

It is a super-2 number, since 2×45955607040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9190461 + ... + 9195459.

It is an arithmetic number, because the mean of its divisors is an integer number (306900000).

Almost surely, 2^45955607040 is an apocalyptic number.

45955607040 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 45955607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000000).

45955607040 is an abundant number, since it is smaller than the sum of its proper divisors (150460392960).

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

45955607040 is a wasteful number, since it uses less digits than its factorization.

45955607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 45955607040 in words is "forty-five billion, nine hundred fifty-five million, six hundred seven thousand, forty".