40329637992 has 256 divisors, whose sum is σ = 132518707200. Its totient is φ = 11123723520.

The previous prime is 40329637991. The next prime is 40329638009. The reversal of 40329637992 is 29973692304.

40329637992 is a `hidden beast` number, since 403 + 29 + 63 + 79 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40329637991) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7325913 + ... + 7331415.

It is an arithmetic number, because the mean of its divisors is an integer number (517651200).

Almost surely, 2^40329637992 is an apocalyptic number.

40329637992 is a gapful number since it is divisible by the number (42) 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 40329637992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66259353600).

40329637992 is an abundant number, since it is smaller than the sum of its proper divisors (92189069208).

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

40329637992 is a wasteful number, since it uses less digits than its factorization.

40329637992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5693 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 40329637992 in words is "forty billion, three hundred twenty-nine million, six hundred thirty-seven thousand, nine hundred ninety-two".