10332125524240 has 240 divisors, whose sum is σ = 27404044028928. Its totient is φ = 3594570642432.

The previous prime is 10332125524211. The next prime is 10332125524243. The reversal of 10332125524240 is 4242552123301.

It is a junction number, because it is equal to n+sod(n) for n = 10332125524196 and 10332125524205.

It is not an unprimeable number, because it can be changed into a prime (10332125524243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107328769 + ... + 107424991.

Almost surely, 2^{10332125524240} is an apocalyptic number.

10332125524240 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 10332125524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13702022014464).

10332125524240 is an abundant number, since it is smaller than the sum of its proper divisors (17071918504688).

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

10332125524240 is a wasteful number, since it uses less digits than its factorization.

10332125524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96406 (or 96333 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 10332125524240 its reverse (4242552123301), we get a palindrome (14574677647541).

The spelling of 10332125524240 in words is "ten trillion, three hundred thirty-two billion, one hundred twenty-five million, five hundred twenty-four thousand, two hundred forty".