401310344400 has 240 divisors, whose sum is σ = 1478912391168. Its totient is φ = 91120320000.

The previous prime is 401310344327. The next prime is 401310344509. The reversal of 401310344400 is 4443013104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×401310344400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110205 + ... + 1426595.

Almost surely, 2^401310344400 is an apocalyptic number.

401310344400 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 401310344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739456195584).

401310344400 is an abundant number, since it is smaller than the sum of its proper divisors (1077602046768).

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

401310344400 is a wasteful number, since it uses less digits than its factorization.

401310344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316570 (or 316559 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 401310344400 its reverse (4443013104), we get a palindrome (405753357504).

The spelling of 401310344400 in words is "four hundred one billion, three hundred ten million, three hundred forty-four thousand, four hundred".