100440244232340 has 192 divisors, whose sum is σ = 287582969721600. Its totient is φ = 26183079510016.

The previous prime is 100440244232323. The next prime is 100440244232413. The reversal of 100440244232340 is 43232442044001.

It is a super-2 number, since 2×100440244232340² (a number of 29 digits) contains 22 as substring.

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, 1413242326 + ... + 1413313394.

It is an arithmetic number, because the mean of its divisors is an integer number (1497827967300).

Almost surely, 2^{100440244232340} is an apocalyptic number.

100440244232340 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 100440244232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143791484860800).

100440244232340 is an abundant number, since it is smaller than the sum of its proper divisors (187142725489260).

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

100440244232340 is a wasteful number, since it uses less digits than its factorization.

100440244232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72746 (or 72744 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 100440244232340 its reverse (43232442044001), we get a palindrome (143672686276341).

The spelling of 100440244232340 in words is "one hundred trillion, four hundred forty billion, two hundred forty-four million, two hundred thirty-two thousand, three hundred forty".