14471211217441 has 96 divisors (see below), whose sum is σ = 17117291520000. Its totient is φ = 12181642513920.

The previous prime is 14471211217429. The next prime is 14471211217481.

It is a happy number.

14471211217441 is nontrivially palindromic in base 10.

14471211217441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14471211217441 - 2²⁵ = 14471177663009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14471211217394 and 14471211217403.

It is not an unprimeable number, because it can be changed into a prime (14471211217481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23840545360 + ... + 23840545966.

It is an arithmetic number, because the mean of its divisors is an integer number (178305120000).

Almost surely, 2^{14471211217441} is an apocalyptic number.

14471211217441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14471211217441 is a deficient number, since it is larger than the sum of its proper divisors (2646080302559).

14471211217441 is a wasteful number, since it uses less digits than its factorization.

14471211217441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1392 counting only the distinct ones).

The product of its digits is 50176, while the sum is 40.

The spelling of 14471211217441 in words is "fourteen trillion, four hundred seventy-one billion, two hundred eleven million, two hundred seventeen thousand, four hundred forty-one".