40992569313696 has 1728 divisors, whose sum is σ = 170141868658944. Its totient is φ = 9075082199040.

The previous prime is 40992569313581. The next prime is 40992569313719. The reversal of 40992569313696 is 69631396529904.

It is a happy number.

40992569313696 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 256 + 9 + 3 + 1 + 369 + 6 = 666.

It is a super-3 number, since 3×40992569313696³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2857215195 + ... + 2857229541.

It is an arithmetic number, because the mean of its divisors is an integer number (98461729548).

Almost surely, 2^{40992569313696} 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 40992569313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85070934329472).

40992569313696 is an abundant number, since it is smaller than the sum of its proper divisors (129149299345248).

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

40992569313696 is a wasteful number, since it uses less digits than its factorization.

40992569313696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14475 (or 14453 counting only the distinct ones).

The product of its (nonzero) digits is 510183360, while the sum is 72.

The spelling of 40992569313696 in words is "forty trillion, nine hundred ninety-two billion, five hundred sixty-nine million, three hundred thirteen thousand, six hundred ninety-six".