404092871520 has 1152 divisors, whose sum is σ = 1510042963968. Its totient is φ = 90574848000.

The previous prime is 404092871491. The next prime is 404092871629. The reversal of 404092871520 is 25178290404.

It is a super-2 number, since 2×404092871520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4000919470 + ... + 4000919570.

It is an arithmetic number, because the mean of its divisors is an integer number (1310801184).

Almost surely, 2^404092871520 is an apocalyptic number.

404092871520 is a gapful number since it is divisible by the number (40) 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 404092871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755021481984).

404092871520 is an abundant number, since it is smaller than the sum of its proper divisors (1105950092448).

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

404092871520 is a wasteful number, since it uses less digits than its factorization.

404092871520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 404092871520 in words is "four hundred four billion, ninety-two million, eight hundred seventy-one thousand, five hundred twenty".