404124212400 has 60 divisors (see below), whose sum is σ = 1294544564232. Its totient is φ = 107766456320.

The previous prime is 404124212389. The next prime is 404124212411. The reversal of 404124212400 is 4212421404.

404124212400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (404124212389) and next prime (404124212411).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 168383889 + ... + 168386288.

Almost surely, 2^404124212400 is an apocalyptic number.

404124212400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404124212400 is an abundant number, since it is smaller than the sum of its proper divisors (890420351832).

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

404124212400 is a wasteful number, since it uses less digits than its factorization.

404124212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336770198 (or 336770187 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 404124212400 its reverse (4212421404), we get a palindrome (408336633804).

The spelling of 404124212400 in words is "four hundred four billion, one hundred twenty-four million, two hundred twelve thousand, four hundred".