11643942240 has 384 divisors, whose sum is σ = 48082083840. Its totient is φ = 2575411200.

The previous prime is 11643942199. The next prime is 11643942241. The reversal of 11643942240 is 4224934611.

11643942240 is a `hidden beast` number, since 1 + 1 + 643 + 9 + 4 + 2 + 2 + 4 + 0 = 666.

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 = 11643942195 and 11643942204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11643942241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931230 + ... + 943650.

It is an arithmetic number, because the mean of its divisors is an integer number (125213760).

Almost surely, 2^11643942240 is an apocalyptic number.

11643942240 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 11643942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24041041920).

11643942240 is an abundant number, since it is smaller than the sum of its proper divisors (36438141600).

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

11643942240 is a wasteful number, since it uses less digits than its factorization.

11643942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12483 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11643942240 in words is "eleven billion, six hundred forty-three million, nine hundred forty-two thousand, two hundred forty".