14242659840 has 960 divisors, whose sum is σ = 57887723520. Its totient is φ = 3308912640.

The previous prime is 14242659833. The next prime is 14242659859. The reversal of 14242659840 is 4895624241.

It is a happy number.

14242659840 is a `hidden beast` number, since 14 + 2 + 4 + 2 + 6 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 459440625 + ... + 459440655.

It is an arithmetic number, because the mean of its divisors is an integer number (60299712).

Almost surely, 2^14242659840 is an apocalyptic number.

14242659840 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 14242659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28943861760).

14242659840 is an abundant number, since it is smaller than the sum of its proper divisors (43645063680).

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

14242659840 is a wasteful number, since it uses less digits than its factorization.

14242659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14242659840 in words is "fourteen billion, two hundred forty-two million, six hundred fifty-nine thousand, eight hundred forty".