40215332501136 has 675 divisors, whose sum is σ = 126411523874909. Its totient is φ = 11934706927104.

The previous prime is 40215332501107. The next prime is 40215332501159. The reversal of 40215332501136 is 63110523351204.

The square root of 40215332501136 is 6341556.

It is a perfect power (a square), and thus also a powerful number.

40215332501136 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 533 + 2 + 5 + 0 + 113 + 6 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 38071614848400 + 2143717652736 = 6170220^2 + 1464144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40215332501136.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 681615805075 + ... + 681615805133.

Almost surely, 2^{40215332501136} is an apocalyptic number.

40215332501136 is the 6341556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40215332501136

40215332501136 is an abundant number, since it is smaller than the sum of its proper divisors (86196191373773).

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

40215332501136 is an frugal number, since it uses more digits than its factorization.

40215332501136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

40215332501136 divided by its sum of digits (36) gives a square (1117092569476 = 1056926²).

The spelling of 40215332501136 in words is "forty trillion, two hundred fifteen billion, three hundred thirty-two million, five hundred one thousand, one hundred thirty-six".