11937242240 has 256 divisors, whose sum is σ = 37674720000. Its totient is φ = 3501588480.

The previous prime is 11937242237. The next prime is 11937242267. The reversal of 11937242240 is 4224273911.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 11937242240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 830636 + ... + 844884.

It is an arithmetic number, because the mean of its divisors is an integer number (147166875).

Almost surely, 2^11937242240 is an apocalyptic number.

11937242240 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 11937242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837360000).

11937242240 is an abundant number, since it is smaller than the sum of its proper divisors (25737477760).

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

11937242240 is a wasteful number, since it uses less digits than its factorization.

11937242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14303 (or 14291 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 11937242240 in words is "eleven billion, nine hundred thirty-seven million, two hundred forty-two thousand, two hundred forty".