401144019200 has 54 divisors (see below), whose sum is σ = 992894142114. Its totient is φ = 160457605120.

The previous prime is 401144019191. The next prime is 401144019203. The reversal of 401144019200 is 2910441104.

It can be written as a sum of positive squares in 3 ways, for example, as 4929163264 + 396214855936 = 70208^2 + 629456^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 401144019200.

It is not an unprimeable number, because it can be changed into a prime (401144019203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31332977 + ... + 31345776.

Almost surely, 2^401144019200 is an apocalyptic number.

401144019200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401144019200 is an abundant number, since it is smaller than the sum of its proper divisors (591750122914).

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

401144019200 is an equidigital number, since it uses as much as digits as its factorization.

401144019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62678779 (or 62678760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 401144019200 in words is "four hundred one billion, one hundred forty-four million, nineteen thousand, two hundred".