414136140400324 has 12 divisors (see below), whose sum is σ = 724817184687148. Its totient is φ = 207045516204000.

The previous prime is 414136140400267. The next prime is 414136140400357. The reversal of 414136140400324 is 423004041631414.

It can be written as a sum of positive squares in 2 ways, for example, as 143530942593600 + 270605197806724 = 11980440^2 + 16450082^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5638457727 + ... + 5638531174.

Almost surely, 2^{414136140400324} is an apocalyptic number.

It is an amenable number.

414136140400324 is a deficient number, since it is larger than the sum of its proper divisors (310681044286824).

414136140400324 is a wasteful number, since it uses less digits than its factorization.

414136140400324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276998086 (or 11276998084 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 414136140400324 in words is "four hundred fourteen trillion, one hundred thirty-six billion, one hundred forty million, four hundred thousand, three hundred twenty-four".