404056419200 has 384 divisors, whose sum is σ = 1194999229440. Its totient is φ = 131991552000.

The previous prime is 404056419191. The next prime is 404056419229. The reversal of 404056419200 is 2914650404.

It is a super-2 number, since 2×404056419200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 144769805 + ... + 144772595.

It is an arithmetic number, because the mean of its divisors is an integer number (3111977160).

Almost surely, 2^404056419200 is an apocalyptic number.

404056419200 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 404056419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597499614720).

404056419200 is an abundant number, since it is smaller than the sum of its proper divisors (790942810240).

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

404056419200 is a wasteful number, since it uses less digits than its factorization.

404056419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 404056419200 in words is "four hundred four billion, fifty-six million, four hundred nineteen thousand, two hundred".