11442539568240 has 480 divisors, whose sum is σ = 42071565818880. Its totient is φ = 2764023091200.

The previous prime is 11442539568227. The next prime is 11442539568319. The reversal of 11442539568240 is 4286593524411.

11442539568240 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 2 + 5 + 39 + 568 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4220780485 + ... + 4220783195.

It is an arithmetic number, because the mean of its divisors is an integer number (87649095456).

Almost surely, 2^{11442539568240} is an apocalyptic number.

11442539568240 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 11442539568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035782909440).

11442539568240 is an abundant number, since it is smaller than the sum of its proper divisors (30629026250640).

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

11442539568240 is a wasteful number, since it uses less digits than its factorization.

11442539568240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 11442539568240 in words is "eleven trillion, four hundred forty-two billion, five hundred thirty-nine million, five hundred sixty-eight thousand, two hundred forty".