400023000320004 has 18 divisors (see below), whose sum is σ = 1011169250808990. Its totient is φ = 133341000106656.

The previous prime is 400023000319993. The next prime is 400023000320081.

400023000320004 is a `hidden beast` number, since 40 + 0 + 0 + 2 + 300 + 0 + 320 + 0 + 0 + 4 = 666.

400023000320004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 255834586728900 + 144188413591104 = 15994830^2 + 12007848^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555875004409 + ... + 5555875004480.

Almost surely, 2^{400023000320004} is an apocalyptic number.

It is an amenable number.

400023000320004 is an abundant number, since it is smaller than the sum of its proper divisors (611146250488986).

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

400023000320004 is a wasteful number, since it uses less digits than its factorization.

400023000320004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111750008899 (or 11111750008894 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

It can be divided in two parts, 400023000 and 320004, that added together give a palindrome (400343004).

The spelling of 400023000320004 in words is "four hundred trillion, twenty-three billion, three hundred twenty thousand, four".