10040762024832 has 512 divisors, whose sum is σ = 34159258828800. Its totient is φ = 2537183232000.

The previous prime is 10040762024701. The next prime is 10040762024963. The reversal of 10040762024832 is 23842026704001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10040762024701) and next prime (10040762024963).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435199857 + ... + 435222927.

It is an arithmetic number, because the mean of its divisors is an integer number (66717302400).

Almost surely, 2^{10040762024832} is an apocalyptic number.

10040762024832 is a gapful number since it is divisible by the number (12) 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 10040762024832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17079629414400).

10040762024832 is an abundant number, since it is smaller than the sum of its proper divisors (24118496803968).

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

10040762024832 is a wasteful number, since it uses less digits than its factorization.

10040762024832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23506 (or 23494 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

Adding to 10040762024832 its reverse (23842026704001), we get a palindrome (33882788728833).

The spelling of 10040762024832 in words is "ten trillion, forty billion, seven hundred sixty-two million, twenty-four thousand, eight hundred thirty-two".