401165067400 has 24 divisors (see below), whose sum is σ = 932708782170. Its totient is φ = 160466026880.

The previous prime is 401165067371. The next prime is 401165067421. The reversal of 401165067400 is 4760561104.

It can be written as a sum of positive squares in 3 ways, for example, as 388480451524 + 12684615876 = 623282^2 + 112626^2 .

It is a super-2 number, since 2×401165067400² (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 5 ways as a sum of consecutive naturals, for example, 1002912469 + ... + 1002912868.

Almost surely, 2^401165067400 is an apocalyptic number.

401165067400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401165067400 is an abundant number, since it is smaller than the sum of its proper divisors (531543714770).

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

401165067400 is a wasteful number, since it uses less digits than its factorization.

401165067400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005825353 (or 2005825344 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 401165067400 in words is "four hundred one billion, one hundred sixty-five million, sixty-seven thousand, four hundred".