404800044000 has 384 divisors, whose sum is σ = 1452035579904. Its totient is φ = 97770240000.

The previous prime is 404800043951. The next prime is 404800044001. The reversal of 404800044000 is 440008404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404800044001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36558465 + ... + 36569535.

It is an arithmetic number, because the mean of its divisors is an integer number (3781342656).

Almost surely, 2^404800044000 is an apocalyptic number.

404800044000 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 404800044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726017789952).

404800044000 is an abundant number, since it is smaller than the sum of its proper divisors (1047235535904).

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

404800044000 is a wasteful number, since it uses less digits than its factorization.

404800044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11387 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 404800044000 in words is "four hundred four billion, eight hundred million, forty-four thousand".