404405814320 has 80 divisors (see below), whose sum is σ = 972851260320. Its totient is φ = 156154521600.

The previous prime is 404405814283. The next prime is 404405814341. The reversal of 404405814320 is 23418504404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15115355 + ... + 15142085.

It is an arithmetic number, because the mean of its divisors is an integer number (12160640754).

Almost surely, 2^404405814320 is an apocalyptic number.

404405814320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404405814320 is an abundant number, since it is smaller than the sum of its proper divisors (568445446000).

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

404405814320 is a wasteful number, since it uses less digits than its factorization.

404405814320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33294 (or 33288 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 404405814320 in words is "four hundred four billion, four hundred five million, eight hundred fourteen thousand, three hundred twenty".