10130581440 has 336 divisors, whose sum is σ = 41575024800. Its totient is φ = 2315464704.

The previous prime is 10130581421. The next prime is 10130581451. The reversal of 10130581440 is 4418503101.

It is a happy number.

10130581440 is a `hidden beast` number, since 10 + 1 + 30 + 581 + 4 + 40 = 666.

10130581440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411396 + ... + 435324.

Almost surely, 2^10130581440 is an apocalyptic number.

10130581440 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 10130581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20787512400).

10130581440 is an abundant number, since it is smaller than the sum of its proper divisors (31444443360).

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

10130581440 is a wasteful number, since it uses less digits than its factorization.

10130581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23969 (or 23946 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10130581440 in words is "ten billion, one hundred thirty million, five hundred eighty-one thousand, four hundred forty".