40105402516368 has 800 divisors, whose sum is σ = 137150771788800. Its totient is φ = 11077666209792.

The previous prime is 40105402516321. The next prime is 40105402516369. The reversal of 40105402516368 is 86361520450104.

40105402516368 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 5 + 4 + 0 + 2 + 5 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×40105402516368² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40105402516369) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29210052130 + ... + 29210053502.

It is an arithmetic number, because the mean of its divisors is an integer number (171438464736).

Almost surely, 2^{40105402516368} is an apocalyptic number.

40105402516368 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 40105402516368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68575385894400).

40105402516368 is an abundant number, since it is smaller than the sum of its proper divisors (97045369272432).

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

40105402516368 is a wasteful number, since it uses less digits than its factorization.

40105402516368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40105402516368 in words is "forty trillion, one hundred five billion, four hundred two million, five hundred sixteen thousand, three hundred sixty-eight".