401269714560 has 512 divisors, whose sum is σ = 1669629024000. Its totient is φ = 89794068480.

The previous prime is 401269714523. The next prime is 401269714579. The reversal of 401269714560 is 65417962104.

401269714560 is a `hidden beast` number, since 4 + 0 + 12 + 6 + 9 + 71 + 4 + 560 = 666.

It is a super-2 number, since 2×401269714560² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2389846 + ... + 2552234.

Almost surely, 2^401269714560 is an apocalyptic number.

401269714560 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 401269714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834814512000).

401269714560 is an abundant number, since it is smaller than the sum of its proper divisors (1268359309440).

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

401269714560 is a wasteful number, since it uses less digits than its factorization.

401269714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162441 (or 162423 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 401269714560 in words is "four hundred one billion, two hundred sixty-nine million, seven hundred fourteen thousand, five hundred sixty".