11302340442344 has 256 divisors, whose sum is σ = 26186515660800. Its totient is φ = 4463614771200.

The previous prime is 11302340442257. The next prime is 11302340442373. The reversal of 11302340442344 is 44324404320311.

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, 4766907479 + ... + 4766909849.

It is an arithmetic number, because the mean of its divisors is an integer number (102291076800).

Almost surely, 2^{11302340442344} is an apocalyptic number.

11302340442344 is a gapful number since it is divisible by the number (14) 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 11302340442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13093257830400).

11302340442344 is an abundant number, since it is smaller than the sum of its proper divisors (14884175218456).

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

11302340442344 is a wasteful number, since it uses less digits than its factorization.

11302340442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 11302340442344 its reverse (44324404320311), we get a palindrome (55626744762655).

The spelling of 11302340442344 in words is "eleven trillion, three hundred two billion, three hundred forty million, four hundred forty-two thousand, three hundred forty-four".