404232985728 has 640 divisors, whose sum is σ = 1443623005440. Its totient is φ = 110647296000.

The previous prime is 404232985699. The next prime is 404232985769. The reversal of 404232985728 is 827589232404.

404232985728 is a `hidden beast` number, since 4 + 0 + 42 + 3 + 29 + 8 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69680428 + ... + 69686228.

It is an arithmetic number, because the mean of its divisors is an integer number (2255660946).

Almost surely, 2^404232985728 is an apocalyptic number.

404232985728 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 404232985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721811502720).

404232985728 is an abundant number, since it is smaller than the sum of its proper divisors (1039390019712).

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

404232985728 is a wasteful number, since it uses less digits than its factorization.

404232985728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 404232985728 in words is "four hundred four billion, two hundred thirty-two million, nine hundred eighty-five thousand, seven hundred twenty-eight".