10241442313340 has 192 divisors, whose sum is σ = 26081110702080. Its totient is φ = 3302037826560.

The previous prime is 10241442313339. The next prime is 10241442313423. The reversal of 10241442313340 is 4331324414201.

It is a junction number, because it is equal to n+sod(n) for n = 10241442313297 and 10241442313306.

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, 450379691 + ... + 450402429.

It is an arithmetic number, because the mean of its divisors is an integer number (135839118240).

Almost surely, 2^{10241442313340} is an apocalyptic number.

10241442313340 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 10241442313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13040555351040).

10241442313340 is an abundant number, since it is smaller than the sum of its proper divisors (15839668388740).

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

10241442313340 is a wasteful number, since it uses less digits than its factorization.

10241442313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25132 (or 25130 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10241442313340 its reverse (4331324414201), we get a palindrome (14572766727541).

The spelling of 10241442313340 in words is "ten trillion, two hundred forty-one billion, four hundred forty-two million, three hundred thirteen thousand, three hundred forty".