404921134420488 has 384 divisors, whose sum is σ = 1292076036276480. Its totient is φ = 112151229972480.

The previous prime is 404921134420469. The next prime is 404921134420519. The reversal of 404921134420488 is 884024431129404.

404921134420488 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 2 + 1 + 134 + 4 + 20 + 488 = 666.

It is a super-2 number, since 2×404921134420488² (a number of 30 digits) contains 22 as substring.

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, 17625946570 + ... + 17625969542.

It is an arithmetic number, because the mean of its divisors is an integer number (3364781344470).

Almost surely, 2^{404921134420488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404921134420488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646038018138240).

404921134420488 is an abundant number, since it is smaller than the sum of its proper divisors (887154901855992).

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

404921134420488 is a wasteful number, since it uses less digits than its factorization.

404921134420488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28429 (or 28422 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 404921134420488 in words is "four hundred four trillion, nine hundred twenty-one billion, one hundred thirty-four million, four hundred twenty thousand, four hundred eighty-eight".