400311202113004 has 192 divisors, whose sum is σ = 884702397422592. Its totient is φ = 154283468774400.

The previous prime is 400311202112981. The next prime is 400311202113019.

400311202113004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15635311267 + ... + 15635336869.

It is an arithmetic number, because the mean of its divisors is an integer number (4607824986576).

Almost surely, 2^{400311202113004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400311202113004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442351198711296).

400311202113004 is an abundant number, since it is smaller than the sum of its proper divisors (484391195309588).

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

400311202113004 is a wasteful number, since it uses less digits than its factorization.

400311202113004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32376 (or 32374 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 40031120 and 2113004, that added together give a palindrome (42144124).

The spelling of 400311202113004 in words is "four hundred trillion, three hundred eleven billion, two hundred two million, one hundred thirteen thousand, four".