2042013441231 has 64 divisors (see below), whose sum is σ = 3225466368000. Its totient is φ = 1274011532640.

The previous prime is 2042013441133. The next prime is 2042013441233. The reversal of 2042013441231 is 1321443102402.

2042013441231 is a `hidden beast` number, since 2 + 0 + 420 + 1 + 3 + 4 + 4 + 1 + 231 = 666.

It is not a de Polignac number, because 2042013441231 - 2²³ = 2042005052623 is a prime.

It is a super-2 number, since 2×2042013441231² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2042013441195 and 2042013441204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042013441233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7598760 + ... + 7862898.

It is an arithmetic number, because the mean of its divisors is an integer number (50397912000).

Almost surely, 2^{2042013441231} is an apocalyptic number.

2042013441231 is a deficient number, since it is larger than the sum of its proper divisors (1183452926769).

2042013441231 is a wasteful number, since it uses less digits than its factorization.

2042013441231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264441 (or 264435 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2042013441231 its reverse (1321443102402), we get a palindrome (3363456543633).

The spelling of 2042013441231 in words is "two trillion, forty-two billion, thirteen million, four hundred forty-one thousand, two hundred thirty-one".