401414459280 has 160 divisors (see below), whose sum is σ = 1290427716864. Its totient is φ = 103139371008.

The previous prime is 401414459227. The next prime is 401414459297. The reversal of 401414459280 is 82954414104.

It is a super-2 number, since 2×401414459280² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695202 + ... + 1134078.

Almost surely, 2^401414459280 is an apocalyptic number.

401414459280 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 401414459280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645213858432).

401414459280 is an abundant number, since it is smaller than the sum of its proper divisors (889013257584).

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

401414459280 is a wasteful number, since it uses less digits than its factorization.

401414459280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439033 (or 439027 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 401414459280 in words is "four hundred one billion, four hundred fourteen million, four hundred fifty-nine thousand, two hundred eighty".