10234332004200 has 192 divisors, whose sum is σ = 31960696051200. Its totient is φ = 2709010656000.

The previous prime is 10234332004199. The next prime is 10234332004223. The reversal of 10234332004200 is 240023343201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 689126775 + ... + 689141625.

It is an arithmetic number, because the mean of its divisors is an integer number (166461958600).

Almost surely, 2^{10234332004200} is an apocalyptic number.

10234332004200 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 10234332004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980348025600).

10234332004200 is an abundant number, since it is smaller than the sum of its proper divisors (21726364047000).

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

10234332004200 is a wasteful number, since it uses less digits than its factorization.

10234332004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23272 (or 23263 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10234332004200 its reverse (240023343201), we get a palindrome (10474355347401).

The spelling of 10234332004200 in words is "ten trillion, two hundred thirty-four billion, three hundred thirty-two million, four thousand, two hundred".