10004034342200 has 24 divisors (see below), whose sum is σ = 23259379846080. Its totient is φ = 4001613736800.

The previous prime is 10004034342199. The next prime is 10004034342209. The reversal of 10004034342200 is 224343040001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004034342209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25010085656 + ... + 25010086055.

It is an arithmetic number, because the mean of its divisors is an integer number (969140826920).

Almost surely, 2^{10004034342200} is an apocalyptic number.

10004034342200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004034342200 is an abundant number, since it is smaller than the sum of its proper divisors (13255345503880).

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

10004034342200 is a wasteful number, since it uses less digits than its factorization.

10004034342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50020171727 (or 50020171718 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10004034342200 its reverse (224343040001), we get a palindrome (10228377382201).

The spelling of 10004034342200 in words is "ten trillion, four billion, thirty-four million, three hundred forty-two thousand, two hundred".