11839242240 has 768 divisors, whose sum is σ = 49726909440. Its totient is φ = 2548039680.

The previous prime is 11839242229. The next prime is 11839242241. The reversal of 11839242240 is 4224293811.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11839242195 and 11839242204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11839242241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319979502 + ... + 319979538.

It is an arithmetic number, because the mean of its divisors is an integer number (64748580).

Almost surely, 2^11839242240 is an apocalyptic number.

11839242240 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 11839242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24863454720).

11839242240 is an abundant number, since it is smaller than the sum of its proper divisors (37887667200).

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

11839242240 is an equidigital number, since it uses as much as digits as its factorization.

11839242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11839242240 in words is "eleven billion, eight hundred thirty-nine million, two hundred forty-two thousand, two hundred forty".