11242042133344 has 96 divisors (see below), whose sum is σ = 24508187407872. Its totient is φ = 5033138880000.

The previous prime is 11242042133339. The next prime is 11242042133347. The reversal of 11242042133344 is 44333124024211.

It is a super-2 number, since 2×11242042133344² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242042133347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234424569 + ... + 234472519.

It is an arithmetic number, because the mean of its divisors is an integer number (255293618832).

Almost surely, 2^{11242042133344} 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 11242042133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254093703936).

11242042133344 is an abundant number, since it is smaller than the sum of its proper divisors (13266145274528).

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

11242042133344 is a wasteful number, since it uses less digits than its factorization.

11242042133344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57980 (or 57972 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 11242042133344 its reverse (44333124024211), we get a palindrome (55575166157555).

The spelling of 11242042133344 in words is "eleven trillion, two hundred forty-two billion, forty-two million, one hundred thirty-three thousand, three hundred forty-four".