14443040242092 has 384 divisors, whose sum is σ = 45418796236800. Its totient is φ = 3528959616000.

The previous prime is 14443040242073. The next prime is 14443040242123. The reversal of 14443040242092 is 29024204034441.

It is a super-2 number, since 2×14443040242092² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14443040242092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2102025417 + ... + 2102032287.

It is an arithmetic number, because the mean of its divisors is an integer number (118278115200).

Almost surely, 2^{14443040242092} is an apocalyptic number.

14443040242092 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 14443040242092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22709398118400).

14443040242092 is an abundant number, since it is smaller than the sum of its proper divisors (30975755994708).

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

14443040242092 is a wasteful number, since it uses less digits than its factorization.

14443040242092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 14443040242092 in words is "fourteen trillion, four hundred forty-three billion, forty million, two hundred forty-two thousand, ninety-two".