10232242400 has 72 divisors (see below), whose sum is σ = 25109267904. Its totient is φ = 4071628800.

The previous prime is 10232242373. The next prime is 10232242403. The reversal of 10232242400 is 424223201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232242403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121265 + ... + 187535.

It is an arithmetic number, because the mean of its divisors is an integer number (348739832).

Almost surely, 2^10232242400 is an apocalyptic number.

10232242400 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 10232242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12554633952).

10232242400 is an abundant number, since it is smaller than the sum of its proper divisors (14877025504).

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

10232242400 is a wasteful number, since it uses less digits than its factorization.

10232242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66484 (or 66471 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10232242400 its reverse (424223201), we get a palindrome (10656465601).

The spelling of 10232242400 in words is "ten billion, two hundred thirty-two million, two hundred forty-two thousand, four hundred".