404220023200 has 288 divisors, whose sum is σ = 1138295144448. Its totient is φ = 137303424000.

The previous prime is 404220023057. The next prime is 404220023231. The reversal of 404220023200 is 2320022404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328366585 + ... + 328367815.

It is an arithmetic number, because the mean of its divisors is an integer number (3952413696).

Almost surely, 2^404220023200 is an apocalyptic number.

404220023200 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 404220023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569147572224).

404220023200 is an abundant number, since it is smaller than the sum of its proper divisors (734075121248).

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

404220023200 is a wasteful number, since it uses less digits than its factorization.

404220023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 404220023200 its reverse (2320022404), we get a palindrome (406540045604).

The spelling of 404220023200 in words is "four hundred four billion, two hundred twenty million, twenty-three thousand, two hundred".