404411130024 has 96 divisors (see below), whose sum is σ = 1117504836000. Its totient is φ = 121864040320.

The previous prime is 404411129963. The next prime is 404411130031. The reversal of 404411130024 is 420031114404.

It is a super-3 number, since 3×404411130024³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 404411129976 and 404411130003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130822 + ... + 908810.

It is an arithmetic number, because the mean of its divisors is an integer number (11640675375).

Almost surely, 2^404411130024 is an apocalyptic number.

404411130024 is a gapful number since it is divisible by the number (44) 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 404411130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558752418000).

404411130024 is an abundant number, since it is smaller than the sum of its proper divisors (713093705976).

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

404411130024 is a wasteful number, since it uses less digits than its factorization.

404411130024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778199 (or 778184 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 404411130024 its reverse (420031114404), we get a palindrome (824442244428).

It can be divided in two parts, 404411 and 130024, that added together give a palindrome (534435).

The spelling of 404411130024 in words is "four hundred four billion, four hundred eleven million, one hundred thirty thousand, twenty-four".