412531015680 has 1080 divisors, whose sum is σ = 1754012267280. Its totient is φ = 89181388800.

The previous prime is 412531015669. The next prime is 412531015711. The reversal of 412531015680 is 86510135214.

412531015680 is a `hidden beast` number, since 41 + 2 + 53 + 1 + 0 + 1 + 568 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 686407380 + ... + 686407980.

Almost surely, 2^412531015680 is an apocalyptic number.

412531015680 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 412531015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877006133640).

412531015680 is an abundant number, since it is smaller than the sum of its proper divisors (1341481251600).

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

412531015680 is a wasteful number, since it uses less digits than its factorization.

412531015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 412531015680 in words is "four hundred twelve billion, five hundred thirty-one million, fifteen thousand, six hundred eighty".