14102242560 has 1008 divisors, whose sum is σ = 61768175616. Its totient is φ = 3009871872.

The previous prime is 14102242541. The next prime is 14102242601. The reversal of 14102242560 is 6524220141.

14102242560 is a `hidden beast` number, since 1 + 41 + 0 + 22 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 111041217 + ... + 111041343.

It is an arithmetic number, because the mean of its divisors is an integer number (61277952).

Almost surely, 2^14102242560 is an apocalyptic number.

14102242560 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 14102242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30884087808).

14102242560 is an abundant number, since it is smaller than the sum of its proper divisors (47665933056).

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

14102242560 is an equidigital number, since it uses as much as digits as its factorization.

14102242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 14102242560 in words is "fourteen billion, one hundred two million, two hundred forty-two thousand, five hundred sixty".