40041713911968 has 384 divisors, whose sum is σ = 120451745433600. Its totient is φ = 12935645485056.

The previous prime is 40041713911939. The next prime is 40041713912009. The reversal of 40041713911968 is 86911931714004.

It is a happy number.

40041713911968 is a `hidden beast` number, since 4 + 0 + 0 + 417 + 1 + 39 + 1 + 196 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2060491180 + ... + 2060510612.

It is an arithmetic number, because the mean of its divisors is an integer number (313676420400).

Almost surely, 2^{40041713911968} is an apocalyptic number.

40041713911968 is a gapful number since it is divisible by the number (48) 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 40041713911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60225872716800).

40041713911968 is an abundant number, since it is smaller than the sum of its proper divisors (80410031521632).

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

40041713911968 is a wasteful number, since it uses less digits than its factorization.

40041713911968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20081 (or 20067 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 40041713911968 in words is "forty trillion, forty-one billion, seven hundred thirteen million, nine hundred eleven thousand, nine hundred sixty-eight".