400133331004 has 48 divisors (see below), whose sum is σ = 797353837056. Its totient is φ = 173916388800.

The previous prime is 400133330999. The next prime is 400133331071.

It is a happy number.

400133331004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249814 + ... + 3370690.

It is an arithmetic number, because the mean of its divisors is an integer number (16611538272).

Almost surely, 2^400133331004 is an apocalyptic number.

400133331004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400133331004 is a deficient number, since it is larger than the sum of its proper divisors (397220506052).

400133331004 is a wasteful number, since it uses less digits than its factorization.

400133331004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124186 (or 124184 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 400133 and 331004, that added together give a palindrome (731137).

The spelling of 400133331004 in words is "four hundred billion, one hundred thirty-three million, three hundred thirty-one thousand, four".