414642924936 has 80 divisors (see below), whose sum is σ = 1162136695500. Its totient is φ = 138124745856.

The previous prime is 414642924929. The next prime is 414642925001. The reversal of 414642924936 is 639429246414.

414642924936 is a `hidden beast` number, since 4 + 1 + 4 + 64 + 2 + 92 + 493 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 413050436100 + 1592488836 = 642690^2 + 39906^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 797206 + ... + 1210298.

Almost surely, 2^414642924936 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 414642924936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581068347750).

414642924936 is an abundant number, since it is smaller than the sum of its proper divisors (747493770564).

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

414642924936 is a wasteful number, since it uses less digits than its factorization.

414642924936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414660 (or 414647 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 414642924936 in words is "four hundred fourteen billion, six hundred forty-two million, nine hundred twenty-four thousand, nine hundred thirty-six".