404314872192 has 1280 divisors, whose sum is σ = 1641324072960. Its totient is φ = 95651020800.

The previous prime is 404314872187. The next prime is 404314872193. The reversal of 404314872192 is 291278413404.

404314872192 is a `hidden beast` number, since 40 + 4 + 314 + 87 + 219 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404314872193) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13042415217 + ... + 13042415247.

It is an arithmetic number, because the mean of its divisors is an integer number (1282284432).

Almost surely, 2^404314872192 is an apocalyptic number.

404314872192 is a gapful number since it is divisible by the number (42) 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 404314872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820662036480).

404314872192 is an abundant number, since it is smaller than the sum of its proper divisors (1237009200768).

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

404314872192 is an equidigital number, since it uses as much as digits as its factorization.

404314872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 404314872192 in words is "four hundred four billion, three hundred fourteen million, eight hundred seventy-two thousand, one hundred ninety-two".