413714935494144 has 400 divisors, whose sum is σ = 1267014684307680. Its totient is φ = 134321623695360.

The previous prime is 413714935494137. The next prime is 413714935494169. The reversal of 413714935494144 is 441494539417314.

413714935494144 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 1 + 4 + 9 + 3 + 549 + 41 + 44 = 666.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1042117317 + ... + 1042514235.

Almost surely, 2^{413714935494144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413714935494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633507342153840).

413714935494144 is an abundant number, since it is smaller than the sum of its proper divisors (853299748813536).

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

413714935494144 is an equidigital number, since it uses as much as digits as its factorization.

413714935494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397603 (or 397578 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 413714935494144 in words is "four hundred thirteen trillion, seven hundred fourteen billion, nine hundred thirty-five million, four hundred ninety-four thousand, one hundred forty-four".