14408643942 has 216 divisors, whose sum is σ = 40446151200. Its totient is φ = 3692969280.

The previous prime is 14408643923. The next prime is 14408643967. The reversal of 14408643942 is 24934680441.

14408643942 is a `hidden beast` number, since 1 + 440 + 86 + 43 + 94 + 2 = 666.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 8430184 + ... + 8431892.

It is an arithmetic number, because the mean of its divisors is an integer number (187250700).

Almost surely, 2^14408643942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14408643942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20223075600).

14408643942 is an abundant number, since it is smaller than the sum of its proper divisors (26037507258).

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

14408643942 is a wasteful number, since it uses less digits than its factorization.

14408643942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 14408643942 in words is "fourteen billion, four hundred eight million, six hundred forty-three thousand, nine hundred forty-two".