40468627358775 has 1152 divisors, whose sum is σ = 100678356172800. Its totient is φ = 15553181952000.

The previous prime is 40468627358771. The next prime is 40468627358791. The reversal of 40468627358775 is 57785372686404.

40468627358775 is a `hidden beast` number, since 4 + 0 + 468 + 62 + 7 + 35 + 8 + 7 + 75 = 666.

It is not a de Polignac number, because 40468627358775 - 2² = 40468627358771 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40468627358771) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 105662212234 + ... + 105662212616.

It is an arithmetic number, because the mean of its divisors is an integer number (87394406400).

Almost surely, 2^{40468627358775} is an apocalyptic number.

40468627358775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40468627358775 is an abundant number, since it is smaller than the sum of its proper divisors (60209728814025).

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

40468627358775 is a wasteful number, since it uses less digits than its factorization.

40468627358775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 72.

The spelling of 40468627358775 in words is "forty trillion, four hundred sixty-eight billion, six hundred twenty-seven million, three hundred fifty-eight thousand, seven hundred seventy-five".