10134203002400 has 36 divisors (see below), whose sum is σ = 24740123081562. Its totient is φ = 4053681200640.

The previous prime is 10134203002381. The next prime is 10134203002403. The reversal of 10134203002400 is 420030243101.

It can be written as a sum of positive squares in 3 ways, for example, as 7297929355024 + 2836273647376 = 2701468^2 + 1684124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10134203002403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6333876077 + ... + 6333877676.

Almost surely, 2^{10134203002400} is an apocalyptic number.

10134203002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134203002400 is an abundant number, since it is smaller than the sum of its proper divisors (14605920079162).

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

10134203002400 is a wasteful number, since it uses less digits than its factorization.

10134203002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12667753773 (or 12667753760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10134203002400 its reverse (420030243101), we get a palindrome (10554233245501).

The spelling of 10134203002400 in words is "ten trillion, one hundred thirty-four billion, two hundred three million, two thousand, four hundred".