404012052288 has 448 divisors, whose sum is σ = 1334179338240. Its totient is φ = 119041228800.

The previous prime is 404012052281. The next prime is 404012052299. The reversal of 404012052288 is 882250210404.

404012052288 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 120 + 522 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404012052281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67546258 + ... + 67552238.

It is an arithmetic number, because the mean of its divisors is an integer number (2978078880).

Almost surely, 2^404012052288 is an apocalyptic number.

404012052288 is a gapful number since it is divisible by the number (48) 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 404012052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667089669120).

404012052288 is an abundant number, since it is smaller than the sum of its proper divisors (930167285952).

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

404012052288 is a wasteful number, since it uses less digits than its factorization.

404012052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 404012052288 in words is "four hundred four billion, twelve million, fifty-two thousand, two hundred eighty-eight".