401310313200 has 90 divisors (see below), whose sum is σ = 1392658274384. Its totient is φ = 107016082560.

The previous prime is 401310313181. The next prime is 401310313207. The reversal of 401310313200 is 2313013104.

401310313200 is a `hidden beast` number, since 4 + 0 + 1 + 310 + 31 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×401310313200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401310313207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55733944 + ... + 55741143.

Almost surely, 2^401310313200 is an apocalyptic number.

401310313200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401310313200 is an abundant number, since it is smaller than the sum of its proper divisors (991347961184).

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

401310313200 is a wasteful number, since it uses less digits than its factorization.

401310313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111475111 (or 111475097 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 401310313200 its reverse (2313013104), we get a palindrome (403623326304).

The spelling of 401310313200 in words is "four hundred one billion, three hundred ten million, three hundred thirteen thousand, two hundred".