404795001600 has 648 divisors, whose sum is σ = 1589631423744. Its totient is φ = 97459200000.

The previous prime is 404795001593. The next prime is 404795001601. The reversal of 404795001600 is 6100597404.

404795001600 is a `hidden beast` number, since 4 + 0 + 47 + 9 + 5 + 0 + 0 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (404795001601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95671485 + ... + 95675715.

Almost surely, 2^404795001600 is an apocalyptic number.

404795001600 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 404795001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794815711872).

404795001600 is an abundant number, since it is smaller than the sum of its proper divisors (1184836422144).

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

404795001600 is a wasteful number, since it uses less digits than its factorization.

404795001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 404795001600 in words is "four hundred four billion, seven hundred ninety-five million, one thousand, six hundred".