14042074635072 has 280 divisors, whose sum is σ = 45415009743840. Its totient is φ = 4254630589440.

The previous prime is 14042074635053. The next prime is 14042074635077. The reversal of 14042074635072 is 27053647024041.

14042074635072 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 0 + 7 + 4 + 635 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042074635077) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 836476663 + ... + 836493449.

Almost surely, 2^{14042074635072} is an apocalyptic number.

14042074635072 is a gapful number since it is divisible by the number (12) 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 14042074635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22707504871920).

14042074635072 is an abundant number, since it is smaller than the sum of its proper divisors (31372935108768).

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

14042074635072 is a wasteful number, since it uses less digits than its factorization.

14042074635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31491 (or 31472 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 14042074635072 in words is "fourteen trillion, forty-two billion, seventy-four million, six hundred thirty-five thousand, seventy-two".