14020435968 has 448 divisors, whose sum is σ = 48315432960. Its totient is φ = 3509452800.

The previous prime is 14020435927. The next prime is 14020436051. The reversal of 14020435968 is 86953402041.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58662793 + ... + 58663031.

Almost surely, 2^14020435968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14020435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24157716480).

14020435968 is an abundant number, since it is smaller than the sum of its proper divisors (34294996992).

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

14020435968 is a wasteful number, since it uses less digits than its factorization.

14020435968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 14020435968 in words is "fourteen billion, twenty million, four hundred thirty-five thousand, nine hundred sixty-eight".