14017929408 has 252 divisors, whose sum is σ = 46919491632. Its totient is φ = 3989744640.

The previous prime is 14017929403. The next prime is 14017929427. The reversal of 14017929408 is 80492971041.

It is a happy number.

14017929408 is a `hidden beast` number, since 140 + 17 + 92 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (14017929403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8776866 + ... + 8778462.

Almost surely, 2^14017929408 is an apocalyptic number.

14017929408 is a gapful number since it is divisible by the number (18) 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 14017929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459745816).

14017929408 is an abundant number, since it is smaller than the sum of its proper divisors (32901562224).

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

14017929408 is a wasteful number, since it uses less digits than its factorization.

14017929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 14017929408 in words is "fourteen billion, seventeen million, nine hundred twenty-nine thousand, four hundred eight".