404416401408 has 312 divisors, whose sum is σ = 1247537790720. Its totient is φ = 125948067840.

The previous prime is 404416401341. The next prime is 404416401419. The reversal of 404416401408 is 804104614404.

404416401408 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 1 + 640 + 1 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33134635 + ... + 33146837.

It is an arithmetic number, because the mean of its divisors is an integer number (3998518560).

Almost surely, 2^404416401408 is an apocalyptic number.

404416401408 is a gapful number since it is divisible by the number (48) 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 404416401408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623768895360).

404416401408 is an abundant number, since it is smaller than the sum of its proper divisors (843121389312).

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

404416401408 is a wasteful number, since it uses less digits than its factorization.

404416401408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 404416401408 in words is "four hundred four billion, four hundred sixteen million, four hundred one thousand, four hundred eight".