40991999940864 has 360 divisors, whose sum is σ = 139709963993600. Its totient is φ = 11710515658752.

The previous prime is 40991999940851. The next prime is 40991999940883. The reversal of 40991999940864 is 46804999919904.

It is a happy number.

40991999940864 is a `hidden beast` number, since 409 + 9 + 1 + 9 + 9 + 99 + 40 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1704507912 + ... + 1704531960.

Almost surely, 2^{40991999940864} 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 40991999940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854981996800).

40991999940864 is an abundant number, since it is smaller than the sum of its proper divisors (98717964052736).

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

40991999940864 is a wasteful number, since it uses less digits than its factorization.

40991999940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35827 (or 35804 counting only the distinct ones).

The product of its (nonzero) digits is 1632586752, while the sum is 81.

The spelling of 40991999940864 in words is "forty trillion, nine hundred ninety-one billion, nine hundred ninety-nine million, nine hundred forty thousand, eight hundred sixty-four".