404444202400 has 72 divisors (see below), whose sum is σ = 1128399340320. Its totient is φ = 138666581760.

The previous prime is 404444202391. The next prime is 404444202439. The reversal of 404444202400 is 4202444404.

It is a super-2 number, since 2×404444202400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36105490 + ... + 36116689.

It is an arithmetic number, because the mean of its divisors is an integer number (15672213060).

Almost surely, 2^404444202400 is an apocalyptic number.

404444202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404444202400 is an abundant number, since it is smaller than the sum of its proper divisors (723955137920).

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

404444202400 is a wasteful number, since it uses less digits than its factorization.

404444202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72222206 (or 72222193 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404444202400 its reverse (4202444404), we get a palindrome (408646646804).

The spelling of 404444202400 in words is "four hundred four billion, four hundred forty-four million, two hundred two thousand, four hundred".