10034424044200 has 192 divisors, whose sum is σ = 24500160460800. Its totient is φ = 3816998188800.

The previous prime is 10034424044167. The next prime is 10034424044329. The reversal of 10034424044200 is 244042443001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1830094659 + ... + 1830100141.

It is an arithmetic number, because the mean of its divisors is an integer number (127605002400).

Almost surely, 2^{10034424044200} is an apocalyptic number.

10034424044200 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 10034424044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12250080230400).

10034424044200 is an abundant number, since it is smaller than the sum of its proper divisors (14465736416600).

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

10034424044200 is a wasteful number, since it uses less digits than its factorization.

10034424044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 10034424044200 its reverse (244042443001), we get a palindrome (10278466487201).

The spelling of 10034424044200 in words is "ten trillion, thirty-four billion, four hundred twenty-four million, forty-four thousand, two hundred".