40321904905152 has 448 divisors, whose sum is σ = 133273504465920. Its totient is φ = 11861448192000.

The previous prime is 40321904905109. The next prime is 40321904905169. The reversal of 40321904905152 is 25150940912304.

It is a happy number.

40321904905152 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 1 + 9 + 0 + 490 + 5 + 152 = 666.

It is a super-2 number, since 2×40321904905152² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40321904905098 and 40321904905107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106176527 + ... + 1106212977.

It is an arithmetic number, because the mean of its divisors is an integer number (297485501040).

Almost surely, 2^{40321904905152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40321904905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66636752232960).

40321904905152 is an abundant number, since it is smaller than the sum of its proper divisors (92951599560768).

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

40321904905152 is a wasteful number, since it uses less digits than its factorization.

40321904905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38649 (or 38633 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 40321904905152 in words is "forty trillion, three hundred twenty-one billion, nine hundred four million, nine hundred five thousand, one hundred fifty-two".