404213303400 has 192 divisors, whose sum is σ = 1270323069120. Its totient is φ = 106309785600.

The previous prime is 404213303399. The next prime is 404213303423. The reversal of 404213303400 is 4303312404.

404213303400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 30520780 + ... + 30534020.

It is an arithmetic number, because the mean of its divisors is an integer number (6616265985).

Almost surely, 2^404213303400 is an apocalyptic number.

404213303400 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 404213303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635161534560).

404213303400 is an abundant number, since it is smaller than the sum of its proper divisors (866109765720).

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

404213303400 is a wasteful number, since it uses less digits than its factorization.

404213303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13956 (or 13947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 404213303400 its reverse (4303312404), we get a palindrome (408516615804).

The spelling of 404213303400 in words is "four hundred four billion, two hundred thirteen million, three hundred three thousand, four hundred".