40921138653696 has 480 divisors, whose sum is σ = 138638349577728. Its totient is φ = 11378438184960.

The previous prime is 40921138653667. The next prime is 40921138653713. The reversal of 40921138653696 is 69635683112904.

40921138653696 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 1 + 1 + 3 + 8 + 6 + 536 + 96 = 666.

40921138653696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179261551 + ... + 179489681.

Almost surely, 2^{40921138653696} 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 40921138653696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69319174788864).

40921138653696 is an abundant number, since it is smaller than the sum of its proper divisors (97717210924032).

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

40921138653696 is a wasteful number, since it uses less digits than its factorization.

40921138653696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228312 (or 228293 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 40921138653696 in words is "forty trillion, nine hundred twenty-one billion, one hundred thirty-eight million, six hundred fifty-three thousand, six hundred ninety-six".