404048804400 has 360 divisors, whose sum is σ = 1448914553216. Its totient is φ = 104161075200.

The previous prime is 404048804387. The next prime is 404048804407. The reversal of 404048804400 is 4408840404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 (404048804407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 209025834 + ... + 209027766.

Almost surely, 2^404048804400 is an apocalyptic number.

404048804400 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 404048804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724457276608).

404048804400 is an abundant number, since it is smaller than the sum of its proper divisors (1044865748816).

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

404048804400 is a wasteful number, since it uses less digits than its factorization.

404048804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 404048804400 in words is "four hundred four billion, forty-eight million, eight hundred four thousand, four hundred".