11300940144 has 120 divisors (see below), whose sum is σ = 34128096912. Its totient is φ = 3470238720.

The previous prime is 11300940109. The next prime is 11300940149. The reversal of 11300940144 is 44104900311.

It is a super-2 number, since 2×11300940144² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300940149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969519 + ... + 981105.

Almost surely, 2^11300940144 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 11300940144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064048456).

11300940144 is an abundant number, since it is smaller than the sum of its proper divisors (22827156768).

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

11300940144 is a wasteful number, since it uses less digits than its factorization.

11300940144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12135 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11300940144 in words is "eleven billion, three hundred million, nine hundred forty thousand, one hundred forty-four".