11116642240 has 112 divisors (see below), whose sum is σ = 29052463104. Its totient is φ = 4017996800.

The previous prime is 11116642219. The next prime is 11116642247. The reversal of 11116642240 is 4224661111.

It is a junction number, because it is equal to n+sod(n) for n = 11116642199 and 11116642208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11116642247) 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, 578385 + ... + 597295.

It is an arithmetic number, because the mean of its divisors is an integer number (259396992).

Almost surely, 2^11116642240 is an apocalyptic number.

11116642240 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 11116642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526231552).

11116642240 is an abundant number, since it is smaller than the sum of its proper divisors (17935820864).

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

11116642240 is a wasteful number, since it uses less digits than its factorization.

11116642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19106 (or 19096 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 11116 and 642240, that added together give a palindrome (653356).

The spelling of 11116642240 in words is "eleven billion, one hundred sixteen million, six hundred forty-two thousand, two hundred forty".