211226440401 has 24 divisors (see below), whose sum is σ = 313162387200. Its totient is φ = 137128882176.

The previous prime is 211226440379. The next prime is 211226440421. The reversal of 211226440401 is 104044622112.

211226440401 is a `hidden beast` number, since 2 + 1 + 12 + 2 + 644 + 0 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 211226440401 - 2¹⁵ = 211226407633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211226440421) 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, 1170480 + ... + 1338833.

It is an arithmetic number, because the mean of its divisors is an integer number (13048432800).

Almost surely, 2^211226440401 is an apocalyptic number.

It is an amenable number.

211226440401 is a deficient number, since it is larger than the sum of its proper divisors (101935946799).

211226440401 is a wasteful number, since it uses less digits than its factorization.

211226440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509565 (or 2509562 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 211226440401 in words is "two hundred eleven billion, two hundred twenty-six million, four hundred forty thousand, four hundred one".