400433334004 has 12 divisors (see below), whose sum is σ = 764463637728. Its totient is φ = 182015151800.

The previous prime is 400433333957. The next prime is 400433334047.

It is a happy number.

400433334004 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550378752 + ... + 4550378839.

It is an arithmetic number, because the mean of its divisors is an integer number (63705303144).

Almost surely, 2^400433334004 is an apocalyptic number.

400433334004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400433334004 is a deficient number, since it is larger than the sum of its proper divisors (364030303724).

400433334004 is a wasteful number, since it uses less digits than its factorization.

400433334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9100757606 (or 9100757604 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, 400433 and 334004, that added together give a palindrome (734437).

The spelling of 400433334004 in words is "four hundred billion, four hundred thirty-three million, three hundred thirty-four thousand, four".