401031344000 has 256 divisors, whose sum is σ = 1141436499840. Its totient is φ = 137263104000.

The previous prime is 401031343891. The next prime is 401031344009. The reversal of 401031344000 is 443130104.

It is a happy number.

It is a super-2 number, since 2×401031344000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401031344009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74029292 + ... + 74034708.

Almost surely, 2^401031344000 is an apocalyptic number.

401031344000 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 401031344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570718249920).

401031344000 is an abundant number, since it is smaller than the sum of its proper divisors (740405155840).

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

401031344000 is an equidigital number, since it uses as much as digits as its factorization.

401031344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 401031344000 its reverse (443130104), we get a palindrome (401474474104).

The spelling of 401031344000 in words is "four hundred one billion, thirty-one million, three hundred forty-four thousand".