31144004212401 has 24 divisors (see below), whose sum is σ = 45330021326304. Its totient is φ = 20603796482880.

The previous prime is 31144004212369. The next prime is 31144004212421. The reversal of 31144004212401 is 10421240044113.

31144004212401 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 40 + 0 + 4 + 212 + 401 = 666.

It is not a de Polignac number, because 31144004212401 - 2⁵ = 31144004212369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31144004212421) 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, 73236150 + ... + 73660176.

It is an arithmetic number, because the mean of its divisors is an integer number (1888750888596).

Almost surely, 2^{31144004212401} is an apocalyptic number.

It is an amenable number.

31144004212401 is a deficient number, since it is larger than the sum of its proper divisors (14186017113903).

31144004212401 is a wasteful number, since it uses less digits than its factorization.

31144004212401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486461 (or 486458 counting only the distinct ones).

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

Adding to 31144004212401 its reverse (10421240044113), we get a palindrome (41565244256514).

The spelling of 31144004212401 in words is "thirty-one trillion, one hundred forty-four billion, four million, two hundred twelve thousand, four hundred one".