10130144400 has 180 divisors, whose sum is σ = 35818380468. Its totient is φ = 2650352640.

The previous prime is 10130144371. The next prime is 10130144471. The reversal of 10130144400 is 444103101.

It can be written as a sum of positive squares in 6 ways, for example, as 123743376 + 10006401024 = 11124^2 + 100032^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164254 + ... + 217346.

Almost surely, 2^10130144400 is an apocalyptic number.

10130144400 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 10130144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909190234).

10130144400 is an abundant number, since it is smaller than the sum of its proper divisors (25688236068).

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

10130144400 is a wasteful number, since it uses less digits than its factorization.

10130144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53170 (or 53156 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10130144400 its reverse (444103101), we get a palindrome (10574247501).

The spelling of 10130144400 in words is "ten billion, one hundred thirty million, one hundred forty-four thousand, four hundred".