413986567680 has 1600 divisors, whose sum is σ = 1890849692160. Its totient is φ = 84276412416.

The previous prime is 413986567667. The next prime is 413986567721. The reversal of 413986567680 is 86765689314.

413986567680 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 8 + 6 + 567 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 468840519 + ... + 468841401.

Almost surely, 2^413986567680 is an apocalyptic number.

413986567680 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 413986567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945424846080).

413986567680 is an abundant number, since it is smaller than the sum of its proper divisors (1476863124480).

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

413986567680 is a wasteful number, since it uses less digits than its factorization.

413986567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 413986567680 in words is "four hundred thirteen billion, nine hundred eighty-six million, five hundred sixty-seven thousand, six hundred eighty".