14307942428024 has 128 divisors (see below), whose sum is σ = 31040084874240. Its totient is φ = 6056274604032.

The previous prime is 14307942427979. The next prime is 14307942428069. The reversal of 14307942428024 is 42082424970341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14307942427979) and next prime (14307942428069).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5384997704 + ... + 5385000360.

It is an arithmetic number, because the mean of its divisors is an integer number (242500663080).

Almost surely, 2^{14307942428024} is an apocalyptic number.

14307942428024 is a gapful number since it is divisible by the number (14) 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 14307942428024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15520042437120).

14307942428024 is an abundant number, since it is smaller than the sum of its proper divisors (16732142446216).

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

14307942428024 is a wasteful number, since it uses less digits than its factorization.

14307942428024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 50.

The spelling of 14307942428024 in words is "fourteen trillion, three hundred seven billion, nine hundred forty-two million, four hundred twenty-eight thousand, twenty-four".