400310231328 has 192 divisors, whose sum is σ = 1335428640000. Its totient is φ = 114283395072.

The previous prime is 400310231303. The next prime is 400310231333. The reversal of 400310231328 is 823132013004.

400310231328 is a `hidden beast` number, since 4 + 0 + 0 + 310 + 23 + 1 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7770198 + ... + 7821546.

It is an arithmetic number, because the mean of its divisors is an integer number (6955357500).

Almost surely, 2^400310231328 is an apocalyptic number.

400310231328 is a gapful number since it is divisible by the number (48) 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 400310231328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667714320000).

400310231328 is an abundant number, since it is smaller than the sum of its proper divisors (935118408672).

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

400310231328 is a wasteful number, since it uses less digits than its factorization.

400310231328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52664 (or 52650 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 400310231328 in words is "four hundred billion, three hundred ten million, two hundred thirty-one thousand, three hundred twenty-eight".