10158371328400 has 45 divisors (see below), whose sum is σ = 24405640263363. Its totient is φ = 4063323033600.

The previous prime is 10158371328389. The next prime is 10158371328401. The reversal of 10158371328400 is 482317385101.

The square root of 10158371328400 is 3187220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3686353920144 + 6472017408256 = 1919988^2 + 2544016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10158371328401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63664720 + ... + 63824080.

Almost surely, 2^{10158371328400} is an apocalyptic number.

10158371328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10158371328400 is the 3187220-th square number.

It is an amenable number.

10158371328400 is an abundant number, since it is smaller than the sum of its proper divisors (14247268934963).

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

10158371328400 is an frugal number, since it uses more digits than its factorization.

10158371328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318740 (or 159368 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 10158371328400 in words is "ten trillion, one hundred fifty-eight billion, three hundred seventy-one million, three hundred twenty-eight thousand, four hundred".