404408088000 has 672 divisors, whose sum is σ = 1658899651968. Its totient is φ = 92123136000.

The previous prime is 404408087947. The next prime is 404408088013. The reversal of 404408088000 is 880804404.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169846810 + ... + 169849190.

Almost surely, 2^404408088000 is an apocalyptic number.

404408088000 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 404408088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829449825984).

404408088000 is an abundant number, since it is smaller than the sum of its proper divisors (1254491563968).

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

404408088000 is a wasteful number, since it uses less digits than its factorization.

404408088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 404408088000 in words is "four hundred four billion, four hundred eight million, eighty-eight thousand".