404800400800 has 72 divisors (see below), whose sum is σ = 989339865696. Its totient is φ = 161736503040.

The previous prime is 404800400789. The next prime is 404800400813. The reversal of 404800400800 is 8004008404.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419877 + ... + 992923.

It is an arithmetic number, because the mean of its divisors is an integer number (13740831468).

Almost surely, 2^404800400800 is an apocalyptic number.

404800400800 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 404800400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494669932848).

404800400800 is an abundant number, since it is smaller than the sum of its proper divisors (584539464896).

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

404800400800 is a wasteful number, since it uses less digits than its factorization.

404800400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573950 (or 573937 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 404800400800 in words is "four hundred four billion, eight hundred million, four hundred thousand, eight hundred".