406070152560 has 800 divisors, whose sum is σ = 1493286423552. Its totient is φ = 102157977600.

The previous prime is 406070152547. The next prime is 406070152573. The reversal of 406070152560 is 65251070604.

It is a happy number.

406070152560 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 70 + 1 + 525 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (406070152547) and next prime (406070152573).

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

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, 1322703927 + ... + 1322704233.

Almost surely, 2^406070152560 is an apocalyptic number.

406070152560 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 406070152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746643211776).

406070152560 is an abundant number, since it is smaller than the sum of its proper divisors (1087216270992).

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

406070152560 is a wasteful number, since it uses less digits than its factorization.

406070152560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 406070152560 in words is "four hundred six billion, seventy million, one hundred fifty-two thousand, five hundred sixty".