404230080000 has 1200 divisors, whose sum is σ = 1507010402304. Its totient is φ = 96092160000.

The previous prime is 404230079971. The next prime is 404230080013. The reversal of 404230080000 is 80032404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 8600639977 + ... + 8600640023.

Almost surely, 2^404230080000 is an apocalyptic number.

404230080000 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 404230080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753505201152).

404230080000 is an abundant number, since it is smaller than the sum of its proper divisors (1102780322304).

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

404230080000 is an equidigital number, since it uses as much as digits as its factorization.

404230080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The spelling of 404230080000 in words is "four hundred four billion, two hundred thirty million, eighty thousand".