14400128160001 has 32 divisors (see below), whose sum is σ = 15910289360640. Its totient is φ = 12976792012800.

The previous prime is 14400128159993. The next prime is 14400128160029. The reversal of 14400128160001 is 10006182100441.

It is a cyclic number.

It is not a de Polignac number, because 14400128160001 - 2³ = 14400128159993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14400128160701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11202436 + ... + 12421546.

It is an arithmetic number, because the mean of its divisors is an integer number (497196542520).

Almost surely, 2^{14400128160001} is an apocalyptic number.

It is an amenable number.

14400128160001 is a deficient number, since it is larger than the sum of its proper divisors (1510161200639).

14400128160001 is a wasteful number, since it uses less digits than its factorization.

14400128160001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219465.

The product of its (nonzero) digits is 1536, while the sum is 28.

The spelling of 14400128160001 in words is "fourteen trillion, four hundred billion, one hundred twenty-eight million, one hundred sixty thousand, one".