40134987566784 has 168 divisors, whose sum is σ = 130145918430528. Its totient is φ = 12162117392640.

The previous prime is 40134987566771. The next prime is 40134987566813. The reversal of 40134987566784 is 48766578943104.

40134987566784 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 498 + 7 + 5 + 66 + 78 + 4 = 666.

40134987566784 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40134987566784² (a number of 28 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117133302 + ... + 117475445.

It is an arithmetic number, because the mean of its divisors is an integer number (774678085896).

Almost surely, 2^{40134987566784} is an apocalyptic number.

40134987566784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40134987566784 is an abundant number, since it is smaller than the sum of its proper divisors (90010930863744).

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

40134987566784 is a wasteful number, since it uses less digits than its factorization.

40134987566784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234608785 (or 234608763 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 40134987566784 in words is "forty trillion, one hundred thirty-four billion, nine hundred eighty-seven million, five hundred sixty-six thousand, seven hundred eighty-four".