10400130320 has 80 divisors (see below), whose sum is σ = 25639251840. Its totient is φ = 3912256512.

The previous prime is 10400130313. The next prime is 10400130329. The reversal of 10400130320 is 2303100401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10400130295 and 10400130304.

It is not an unprimeable number, because it can be changed into a prime (10400130329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183269 + ... + 233211.

It is an arithmetic number, because the mean of its divisors is an integer number (320490648).

Almost surely, 2^10400130320 is an apocalyptic number.

10400130320 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 10400130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12819625920).

10400130320 is an abundant number, since it is smaller than the sum of its proper divisors (15239121520).

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

10400130320 is a wasteful number, since it uses less digits than its factorization.

10400130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50112 (or 50106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10400130320 its reverse (2303100401), we get a palindrome (12703230721).

The spelling of 10400130320 in words is "ten billion, four hundred million, one hundred thirty thousand, three hundred twenty".