10129190400 has 960 divisors, whose sum is σ = 43840051200. Its totient is φ = 2242805760.

The previous prime is 10129190341. The next prime is 10129190429. The reversal of 10129190400 is 409192101.

10129190400 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 (960).

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 95 ways as a sum of consecutive naturals, for example, 128217561 + ... + 128217639.

It is an arithmetic number, because the mean of its divisors is an integer number (45666720).

Almost surely, 2^10129190400 is an apocalyptic number.

10129190400 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 10129190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920025600).

10129190400 is an abundant number, since it is smaller than the sum of its proper divisors (33710860800).

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

10129190400 is an equidigital number, since it uses as much as digits as its factorization.

10129190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10129190400 in words is "ten billion, one hundred twenty-nine million, one hundred ninety thousand, four hundred".