14242642340 has 48 divisors (see below), whose sum is σ = 30426687984. Its totient is φ = 5598720000.

The previous prime is 14242642339. The next prime is 14242642357. The reversal of 14242642340 is 4324624241.

It can be written as a sum of positive squares in 8 ways, for example, as 471150436 + 13771491904 = 21706^2 + 117352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14242642297 and 14242642306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1577840 + ... + 1586840.

It is an arithmetic number, because the mean of its divisors is an integer number (633889333).

Almost surely, 2^14242642340 is an apocalyptic number.

14242642340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14242642340 is an abundant number, since it is smaller than the sum of its proper divisors (16184045644).

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

14242642340 is a wasteful number, since it uses less digits than its factorization.

14242642340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10368 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 14242642340 in words is "fourteen billion, two hundred forty-two million, six hundred forty-two thousand, three hundred forty".