414313243632 has 60 divisors (see below), whose sum is σ = 1161511414960. Its totient is φ = 137865037824.

The previous prime is 414313243613. The next prime is 414313243651. The reversal of 414313243632 is 236342313414.

It is a happy number.

414313243632 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 13 + 2 + 4 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (414313243613) and next prime (414313243651).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2410132 + ... + 2576307.

Almost surely, 2^414313243632 is an apocalyptic number.

It is an amenable number.

414313243632 is an abundant number, since it is smaller than the sum of its proper divisors (747198171328).

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

414313243632 is a wasteful number, since it uses less digits than its factorization.

414313243632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987030 (or 4987021 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 414313243632 in words is "four hundred fourteen billion, three hundred thirteen million, two hundred forty-three thousand, six hundred thirty-two".