40132088041815 has 144 divisors (see below), whose sum is σ = 88467214451616. Its totient is φ = 16642087257600.

The previous prime is 40132088041813. The next prime is 40132088041831. The reversal of 40132088041815 is 51814088023104.

40132088041815 is a `hidden beast` number, since 4 + 0 + 13 + 208 + 8 + 0 + 418 + 15 = 666.

It is not a de Polignac number, because 40132088041815 - 2¹ = 40132088041813 is a prime.

It is a super-2 number, since 2×40132088041815² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132088041813) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9386989 + ... + 12976121.

It is an arithmetic number, because the mean of its divisors is an integer number (614355655914).

Almost surely, 2^{40132088041815} is an apocalyptic number.

40132088041815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40132088041815 is an abundant number, since it is smaller than the sum of its proper divisors (48335126409801).

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

40132088041815 is a wasteful number, since it uses less digits than its factorization.

40132088041815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589630 (or 3589620 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 40132088041815 in words is "forty trillion, one hundred thirty-two billion, eighty-eight million, forty-one thousand, eight hundred fifteen".