214001132401 has 40 divisors (see below), whose sum is σ = 255904020864. Its totient is φ = 178865719200.

The previous prime is 214001132341. The next prime is 214001132413. The reversal of 214001132401 is 104231100412.

It is not a de Polignac number, because 214001132401 - 2²⁵ = 213967577969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214001132441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31932351 + ... + 31939051.

Almost surely, 2^214001132401 is an apocalyptic number.

It is an amenable number.

214001132401 is a deficient number, since it is larger than the sum of its proper divisors (41902888463).

214001132401 is an frugal number, since it uses more digits than its factorization.

214001132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7059 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 214001132401 its reverse (104231100412), we get a palindrome (318232232813).

The spelling of 214001132401 in words is "two hundred fourteen billion, one million, one hundred thirty-two thousand, four hundred one".