400444004000 has 48 divisors (see below), whose sum is σ = 983890927656. Its totient is φ = 160177600000.

The previous prime is 400444003979. The next prime is 400444004011. The reversal of 400444004000 is 400444004.

It can be written as a sum of positive squares in 4 ways, for example, as 75411750544 + 325032253456 = 274612^2 + 570116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50051501 + ... + 50059500.

Almost surely, 2^400444004000 is an apocalyptic number.

400444004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400444004000 is an abundant number, since it is smaller than the sum of its proper divisors (583446923656).

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

400444004000 is a wasteful number, since it uses less digits than its factorization.

400444004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111026 (or 100111008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 400444004000 its reverse (400444004), we get a palindrome (400844448004).

400444004000 divided by its reverse (400444004) gives a cube (1000 = 10³).

The spelling of 400444004000 in words is "four hundred billion, four hundred forty-four million, four thousand".