13842942960 has 480 divisors, whose sum is σ = 54997408512. Its totient is φ = 2847989760.

The previous prime is 13842942943. The next prime is 13842942979. The reversal of 13842942960 is 6924924831.

13842942960 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 (48).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14617207 + ... + 14618153.

Almost surely, 2^13842942960 is an apocalyptic number.

13842942960 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 13842942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498704256).

13842942960 is an abundant number, since it is smaller than the sum of its proper divisors (41154465552).

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

13842942960 is a wasteful number, since it uses less digits than its factorization.

13842942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 13842942960 in words is "thirteen billion, eight hundred forty-two million, nine hundred forty-two thousand, nine hundred sixty".