400230424032004 has 12 divisors (see below), whose sum is σ = 700473982782028. Its totient is φ = 200095000380000.

The previous prime is 400230424031989. The next prime is 400230424032041.

It is a happy number.

400230424032004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 393704964000000 + 6525460032004 = 19842000^2 + 2554498^2 .

It is a super-3 number, since 3×400230424032004³ (a number of 45 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 5052864447 + ... + 5052943654.

Almost surely, 2^{400230424032004} is an apocalyptic number.

It is an amenable number.

400230424032004 is a deficient number, since it is larger than the sum of its proper divisors (300243558750024).

400230424032004 is a wasteful number, since it uses less digits than its factorization.

400230424032004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105818006 (or 10105818004 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The spelling of 400230424032004 in words is "four hundred trillion, two hundred thirty billion, four hundred twenty-four million, thirty-two thousand, four".