414974369160 has 640 divisors, whose sum is σ = 1529070127200. Its totient is φ = 100926259200.

The previous prime is 414974369137. The next prime is 414974369189. The reversal of 414974369160 is 61963479414.

414974369160 is a `hidden beast` number, since 4 + 1 + 49 + 7 + 436 + 9 + 160 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 93669050916 + 321305318244 = 306054^2 + 566838^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 414974369097 and 414974369106.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 690472860 + ... + 690473460.

Almost surely, 2^414974369160 is an apocalyptic number.

414974369160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414974369160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764535063600).

414974369160 is an abundant number, since it is smaller than the sum of its proper divisors (1114095758040).

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

414974369160 is a wasteful number, since it uses less digits than its factorization.

414974369160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 414974369160 in words is "four hundred fourteen billion, nine hundred seventy-four million, three hundred sixty-nine thousand, one hundred sixty".