400444004800 has 168 divisors, whose sum is σ = 1134976753664. Its totient is φ = 136213539840.

The previous prime is 400444004777. The next prime is 400444004813. The reversal of 400444004800 is 8400444004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 1281637 + ... + 1563163.

Almost surely, 2^400444004800 is an apocalyptic number.

400444004800 is a gapful number since it is divisible by the number (40) 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 400444004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567488376832).

400444004800 is an abundant number, since it is smaller than the sum of its proper divisors (734532748864).

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

400444004800 is a wasteful number, since it uses less digits than its factorization.

400444004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281683 (or 281668 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 400444004800 its reverse (8400444004), we get a palindrome (408844448804).

The spelling of 400444004800 in words is "four hundred billion, four hundred forty-four million, four thousand, eight hundred".