10332415013344 has 96 divisors (see below), whose sum is σ = 21592487196000. Its totient is φ = 4850147082240.

The previous prime is 10332415013341. The next prime is 10332415013353. The reversal of 10332415013344 is 44331051423301.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332415013341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356903382 + ... + 356932330.

It is an arithmetic number, because the mean of its divisors is an integer number (224921741625).

Almost surely, 2^{10332415013344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332415013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796243598000).

10332415013344 is an abundant number, since it is smaller than the sum of its proper divisors (11260072182656).

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

10332415013344 is a wasteful number, since it uses less digits than its factorization.

10332415013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30596 (or 30588 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 10332415013344 its reverse (44331051423301), we get a palindrome (54663466436645).

The spelling of 10332415013344 in words is "ten trillion, three hundred thirty-two billion, four hundred fifteen million, thirteen thousand, three hundred forty-four".