10130440320 has 1152 divisors, whose sum is σ = 47997593280. Its totient is φ = 1935360000.

The previous prime is 10130440319. The next prime is 10130440337. The reversal of 10130440320 is 2304403101.

10130440320 is a `hidden beast` number, since 1 + 0 + 1 + 304 + 40 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10130440293 and 10130440302.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40360195 + ... + 40360445.

Almost surely, 2^10130440320 is an apocalyptic number.

10130440320 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 10130440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998796640).

10130440320 is an abundant number, since it is smaller than the sum of its proper divisors (37867152960).

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

10130440320 is a wasteful number, since it uses less digits than its factorization.

10130440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10130440320 its reverse (2304403101), we get a palindrome (12434843421).

The spelling of 10130440320 in words is "ten billion, one hundred thirty million, four hundred forty thousand, three hundred twenty".