400433000334004 has 72 divisors (see below), whose sum is σ = 796907786976000. Its totient is φ = 175718130772800.

The previous prime is 400433000333983. The next prime is 400433000334019.

It is a happy number.

400433000334004 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119036709 + ... + 122354419.

It is an arithmetic number, because the mean of its divisors is an integer number (11068163708000).

Almost surely, 2^{400433000334004} is an apocalyptic number.

400433000334004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400433000334004 is a deficient number, since it is larger than the sum of its proper divisors (396474786641996).

400433000334004 is a wasteful number, since it uses less digits than its factorization.

400433000334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326365 (or 3326352 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

It can be divided in two parts, 400433000 and 334004, that added together give a palindrome (400767004).

The spelling of 400433000334004 in words is "four hundred trillion, four hundred thirty-three billion, three hundred thirty-four thousand, four".