14342025360 has 640 divisors, whose sum is σ = 53716561920. Its totient is φ = 3131301888.

The previous prime is 14342025353. The next prime is 14342025389. The reversal of 14342025360 is 6352024341.

14342025360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 91350402 + ... + 91350558.

It is an arithmetic number, because the mean of its divisors is an integer number (83932128).

Almost surely, 2^14342025360 is an apocalyptic number.

14342025360 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 14342025360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858280960).

14342025360 is an abundant number, since it is smaller than the sum of its proper divisors (39374536560).

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

14342025360 is a wasteful number, since it uses less digits than its factorization.

14342025360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 14342025360 in words is "fourteen billion, three hundred forty-two million, twenty-five thousand, three hundred sixty".