10134442415200 has 36 divisors (see below), whose sum is σ = 24740707548060. Its totient is φ = 4053776965760.

The previous prime is 10134442415173. The next prime is 10134442415261. The reversal of 10134442415200 is 251424443101.

It is a happy number.

10134442415200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6334025710 + ... + 6334027309.

It is an arithmetic number, because the mean of its divisors is an integer number (687241876335).

Almost surely, 2^{10134442415200} is an apocalyptic number.

10134442415200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134442415200 is an abundant number, since it is smaller than the sum of its proper divisors (14606265132860).

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

10134442415200 is a wasteful number, since it uses less digits than its factorization.

10134442415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12668053039 (or 12668053026 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 10134442415200 its reverse (251424443101), we get a palindrome (10385866858301).

The spelling of 10134442415200 in words is "ten trillion, one hundred thirty-four billion, four hundred forty-two million, four hundred fifteen thousand, two hundred".