14414400032329 has 24 divisors (see below), whose sum is σ = 16241469142752. Its totient is φ = 12685986069120.

The previous prime is 14414400032317. The next prime is 14414400032341. The reversal of 14414400032329 is 92323000441441.

It is an interprime number because it is at equal distance from previous prime (14414400032317) and next prime (14414400032341).

It is not a de Polignac number, because 14414400032329 - 2⁹ = 14414400031817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14414400032399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837567 + ... + 5434180.

It is an arithmetic number, because the mean of its divisors is an integer number (676727880948).

Almost surely, 2^{14414400032329} is an apocalyptic number.

It is an amenable number.

14414400032329 is a deficient number, since it is larger than the sum of its proper divisors (1827069110423).

14414400032329 is a wasteful number, since it uses less digits than its factorization.

14414400032329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271957 (or 6271914 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 14414400032329 in words is "fourteen trillion, four hundred fourteen billion, four hundred million, thirty-two thousand, three hundred twenty-nine".