11442238720 has 288 divisors, whose sum is σ = 31629346560. Its totient is φ = 3925278720.

The previous prime is 11442238711. The next prime is 11442238721. The reversal of 11442238720 is 2783224411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11442238721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28821562 + ... + 28821958.

It is an arithmetic number, because the mean of its divisors is an integer number (109824120).

Almost surely, 2^11442238720 is an apocalyptic number.

11442238720 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 11442238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814673280).

11442238720 is an abundant number, since it is smaller than the sum of its proper divisors (20187107840).

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

11442238720 is a wasteful number, since it uses less digits than its factorization.

11442238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 11442238720 in words is "eleven billion, four hundred forty-two million, two hundred thirty-eight thousand, seven hundred twenty".