412314608160 has 1728 divisors, whose sum is σ = 1889693481312. Its totient is φ = 80857792512.

The previous prime is 412314608129. The next prime is 412314608191. The reversal of 412314608160 is 61806413214.

412314608160 is a `hidden beast` number, since 4 + 1 + 2 + 31 + 4 + 608 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (412314608129) and next prime (412314608191).

It can be written as a sum of positive squares in 16 ways, for example, as 13613288976 + 398701319184 = 116676^2 + 631428^2 .

It is a super-2 number, since 2×412314608160² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2136345024 + ... + 2136345216.

Almost surely, 2^412314608160 is an apocalyptic number.

412314608160 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 412314608160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944846740656).

412314608160 is an abundant number, since it is smaller than the sum of its proper divisors (1477378873152).

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

412314608160 is a wasteful number, since it uses less digits than its factorization.

412314608160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 412314608160 in words is "four hundred twelve billion, three hundred fourteen million, six hundred eight thousand, one hundred sixty".