14414012495442 has 256 divisors, whose sum is σ = 39356762112000. Its totient is φ = 3821471267328.

The previous prime is 14414012495413. The next prime is 14414012495453. The reversal of 14414012495442 is 24459421041441.

14414012495442 is a `hidden beast` number, since 1 + 4 + 4 + 140 + 12 + 495 + 4 + 4 + 2 = 666.

It is a super-2 number, since 2×14414012495442² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 40833859 + ... + 41185337.

It is an arithmetic number, because the mean of its divisors is an integer number (153737352000).

Almost surely, 2^{14414012495442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414012495442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19678381056000).

14414012495442 is an abundant number, since it is smaller than the sum of its proper divisors (24942749616558).

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

14414012495442 is a wasteful number, since it uses less digits than its factorization.

14414012495442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351662 (or 351656 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 14414012495442 in words is "fourteen trillion, four hundred fourteen billion, twelve million, four hundred ninety-five thousand, four hundred forty-two".