401682882960 has 480 divisors, whose sum is σ = 1459364594688. Its totient is φ = 98635530240.

The previous prime is 401682882949. The next prime is 401682882983. The reversal of 401682882960 is 69288286104.

401682882960 is a `hidden beast` number, since 401 + 6 + 82 + 88 + 29 + 60 = 666.

It is a super-2 number, since 2×401682882960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401682882897 and 401682882906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326305545 + ... + 326306775.

Almost surely, 2^401682882960 is an apocalyptic number.

401682882960 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 401682882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729682297344).

401682882960 is an abundant number, since it is smaller than the sum of its proper divisors (1057681711728).

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

401682882960 is a wasteful number, since it uses less digits than its factorization.

401682882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 401682882960 in words is "four hundred one billion, six hundred eighty-two million, eight hundred eighty-two thousand, nine hundred sixty".