404316394560 has 1792 divisors, whose sum is σ = 1720535040000. Its totient is φ = 88456790016.

The previous prime is 404316394553. The next prime is 404316394577. The reversal of 404316394560 is 65493613404.

404316394560 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 1 + 639 + 4 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2908750971 + ... + 2908751109.

It is an arithmetic number, because the mean of its divisors is an integer number (960120000).

Almost surely, 2^404316394560 is an apocalyptic number.

404316394560 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 404316394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860267520000).

404316394560 is an abundant number, since it is smaller than the sum of its proper divisors (1316218645440).

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

404316394560 is a wasteful number, since it uses less digits than its factorization.

404316394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 404316394560 in words is "four hundred four billion, three hundred sixteen million, three hundred ninety-four thousand, five hundred sixty".