404599104000 has 2560 divisors, whose sum is σ = 1921796997120. Its totient is φ = 81616896000.

The previous prime is 404599103983. The next prime is 404599104001. The reversal of 404599104000 is 401995404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (404599104001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4874687959 + ... + 4874688041.

It is an arithmetic number, because the mean of its divisors is an integer number (750701952).

Almost surely, 2^404599104000 is an apocalyptic number.

404599104000 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 404599104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960898498560).

404599104000 is an abundant number, since it is smaller than the sum of its proper divisors (1517197893120).

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

404599104000 is a wasteful number, since it uses less digits than its factorization.

404599104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 404599104000 in words is "four hundred four billion, five hundred ninety-nine million, one hundred four thousand".