440800408400 has 120 divisors (see below), whose sum is σ = 1157970926784. Its totient is φ = 159920179200.

The previous prime is 440800408397. The next prime is 440800408471. The reversal of 440800408400 is 4804008044.

It is a happy number.

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, 1789517 + ... + 2020883.

Almost surely, 2^440800408400 is an apocalyptic number.

440800408400 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 440800408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578985463392).

440800408400 is an abundant number, since it is smaller than the sum of its proper divisors (717170518384).

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

440800408400 is a wasteful number, since it uses less digits than its factorization.

440800408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231829 (or 231818 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 440800408400 in words is "four hundred forty billion, eight hundred million, four hundred eight thousand, four hundred".