40166304588324 has 36 divisors (see below), whose sum is σ = 101531690764140. Its totient is φ = 13388742005760.

The previous prime is 40166304588307. The next prime is 40166304588331. The reversal of 40166304588324 is 42388540366104.

40166304588324 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 6 + 30 + 4 + 588 + 3 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5663838333924 + 34502466254400 = 2379882^2 + 5873880^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×40166304588324² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28735404 + ... + 30100764.

Almost surely, 2^{40166304588324} is an apocalyptic number.

It is an amenable number.

40166304588324 is an abundant number, since it is smaller than the sum of its proper divisors (61365386175816).

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

40166304588324 is a wasteful number, since it uses less digits than its factorization.

40166304588324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182540 (or 2182535 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 40166304588324 in words is "forty trillion, one hundred sixty-six billion, three hundred four million, five hundred eighty-eight thousand, three hundred twenty-four".