400443344004 has 72 divisors (see below), whose sum is σ = 1027676678560. Its totient is φ = 121270343040.

The previous prime is 400443343969. The next prime is 400443344011.

400443344004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2250567 + ... + 2421969.

Almost surely, 2^400443344004 is an apocalyptic number.

400443344004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400443344004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513838339280).

400443344004 is an abundant number, since it is smaller than the sum of its proper divisors (627233334556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400443344004 is a wasteful number, since it uses less digits than its factorization.

400443344004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173041 (or 173028 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 400443 and 344004, that added together give a palindrome (744447).

The spelling of 400443344004 in words is "four hundred billion, four hundred forty-three million, three hundred forty-four thousand, four".