11560441314240 has 672 divisors, whose sum is σ = 51090399581760. Its totient is φ = 2439124918272.

The previous prime is 11560441314229. The next prime is 11560441314283. The reversal of 11560441314240 is 4241314406511.

11560441314240 is a `hidden beast` number, since 1 + 1 + 5 + 60 + 4 + 41 + 314 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 11560441314195 and 11560441314204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4453434 + ... + 6553926.

It is an arithmetic number, because the mean of its divisors is an integer number (76027380330).

Almost surely, 2^{11560441314240} is an apocalyptic number.

11560441314240 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 11560441314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25545199790880).

11560441314240 is an abundant number, since it is smaller than the sum of its proper divisors (39529958267520).

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

11560441314240 is a wasteful number, since it uses less digits than its factorization.

11560441314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100546 (or 2100523 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11560441314240 in words is "eleven trillion, five hundred sixty billion, four hundred forty-one million, three hundred fourteen thousand, two hundred forty".