10404114320 has 80 divisors (see below), whose sum is σ = 24569284608. Its totient is φ = 4096834560.

The previous prime is 10404114319. The next prime is 10404114337. The reversal of 10404114320 is 2341140401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10404114292 and 10404114301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327052 + ... + 1334868.

Almost surely, 2^10404114320 is an apocalyptic number.

10404114320 is a gapful number since it is divisible by the number (10) 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 10404114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284642304).

10404114320 is an abundant number, since it is smaller than the sum of its proper divisors (14165170288).

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

10404114320 is a wasteful number, since it uses less digits than its factorization.

10404114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8088 (or 8082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10404114320 its reverse (2341140401), we get a palindrome (12745254721).

The spelling of 10404114320 in words is "ten billion, four hundred four million, one hundred fourteen thousand, three hundred twenty".