40465577617920 has 2400 divisors, whose sum is σ = 180293373735552. Its totient is φ = 8493539917824.

The previous prime is 40465577617853. The next prime is 40465577617921. The reversal of 40465577617920 is 2971677556404.

40465577617920 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 5 + 5 + 7 + 7 + 617 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40465577617921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 71874915559 + ... + 71874916121.

Almost surely, 2^{40465577617920} is an apocalyptic number.

40465577617920 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 40465577617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90146686867776).

40465577617920 is an abundant number, since it is smaller than the sum of its proper divisors (139827796117632).

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

40465577617920 is a wasteful number, since it uses less digits than its factorization.

40465577617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 40465577617920 in words is "forty trillion, four hundred sixty-five billion, five hundred seventy-seven million, six hundred seventeen thousand, nine hundred twenty".