404975374560 has 576 divisors, whose sum is σ = 1467633323520. Its totient is φ = 101523456000.

The previous prime is 404975374547. The next prime is 404975374561. The reversal of 404975374560 is 65473579404.

404975374560 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 7 + 5 + 3 + 74 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 404975374497 and 404975374506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404975374561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748567890 + ... + 748568430.

It is an arithmetic number, because the mean of its divisors is an integer number (2547974520).

Almost surely, 2^404975374560 is an apocalyptic number.

404975374560 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 404975374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733816661760).

404975374560 is an abundant number, since it is smaller than the sum of its proper divisors (1062657948960).

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

404975374560 is a wasteful number, since it uses less digits than its factorization.

404975374560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 404975374560 in words is "four hundred four billion, nine hundred seventy-five million, three hundred seventy-four thousand, five hundred sixty".