14342538240 has 528 divisors, whose sum is σ = 54296265600. Its totient is φ = 3589668864.

The previous prime is 14342538239. The next prime is 14342538289. The reversal of 14342538240 is 4283524341.

14342538240 is a `hidden beast` number, since 1 + 43 + 42 + 538 + 2 + 40 = 666.

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 = 14342538195 and 14342538204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39951181 + ... + 39951539.

Almost surely, 2^14342538240 is an apocalyptic number.

14342538240 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 14342538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27148132800).

14342538240 is an abundant number, since it is smaller than the sum of its proper divisors (39953727360).

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

14342538240 is a wasteful number, since it uses less digits than its factorization.

14342538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14342538240 in words is "fourteen billion, three hundred forty-two million, five hundred thirty-eight thousand, two hundred forty".