40160991024 has 480 divisors, whose sum is σ = 146387963904. Its totient is φ = 10354832640.

The previous prime is 40160991019. The next prime is 40160991043. The reversal of 40160991024 is 42019906104.

It is a happy number.

40160991024 is a `hidden beast` number, since 40 + 1 + 609 + 9 + 1 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×40160991024² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40160991024.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48797877 + ... + 48798699.

Almost surely, 2^40160991024 is an apocalyptic number.

40160991024 is a gapful number since it is divisible by the number (44) 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 40160991024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73193981952).

40160991024 is an abundant number, since it is smaller than the sum of its proper divisors (106226972880).

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

40160991024 is a wasteful number, since it uses less digits than its factorization.

40160991024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 40160991024 in words is "forty billion, one hundred sixty million, nine hundred ninety-one thousand, twenty-four".