40392433162368 has 384 divisors, whose sum is σ = 133481159884800. Its totient is φ = 11484965099520.

The previous prime is 40392433162351. The next prime is 40392433162391. The reversal of 40392433162368 is 86326133429304.

40392433162368 is a `hidden beast` number, since 4 + 0 + 3 + 9 + 2 + 4 + 3 + 3 + 1 + 623 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×40392433162368² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1502737153 + ... + 1502764031.

It is an arithmetic number, because the mean of its divisors is an integer number (347607187200).

Almost surely, 2^{40392433162368} is an apocalyptic number.

40392433162368 is a gapful number since it is divisible by the number (48) 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 40392433162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66740579942400).

40392433162368 is an abundant number, since it is smaller than the sum of its proper divisors (93088726722432).

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

40392433162368 is a wasteful number, since it uses less digits than its factorization.

40392433162368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27800 (or 27785 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 40392433162368 in words is "forty trillion, three hundred ninety-two billion, four hundred thirty-three million, one hundred sixty-two thousand, three hundred sixty-eight".