400234404432004 has 48 divisors (see below), whose sum is σ = 756135425505600. Its totient is φ = 184745378188800.

The previous prime is 400234404431993. The next prime is 400234404432013.

400234404432004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72087577 + ... + 77440864.

It is an arithmetic number, because the mean of its divisors is an integer number (15752821364700).

Almost surely, 2^{400234404432004} is an apocalyptic number.

It is an amenable number.

400234404432004 is a deficient number, since it is larger than the sum of its proper divisors (355901021073596).

400234404432004 is a wasteful number, since it uses less digits than its factorization.

400234404432004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149529364 (or 149529362 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 40023440 and 4432004, that added together give a palindrome (44455444).

The spelling of 400234404432004 in words is "four hundred trillion, two hundred thirty-four billion, four hundred four million, four hundred thirty-two thousand, four".