40442123349 has 12 divisors (see below), whose sum is σ = 58464416556. Its totient is φ = 26939254272.

The previous prime is 40442123339. The next prime is 40442123377. The reversal of 40442123349 is 94332124404.

40442123349 is a `hidden beast` number, since 404 + 4 + 212 + 3 + 34 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15890367249 + 24551756100 = 126057^2 + 156690^2 .

It is not a de Polignac number, because 40442123349 - 2⁷ = 40442123221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442123339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1835214 + ... + 1857119.

It is an arithmetic number, because the mean of its divisors is an integer number (4872034713).

Almost surely, 2^40442123349 is an apocalyptic number.

It is an amenable number.

40442123349 is a deficient number, since it is larger than the sum of its proper divisors (18022293207).

40442123349 is a wasteful number, since it uses less digits than its factorization.

40442123349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693556 (or 3693553 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40442123349 in words is "forty billion, four hundred forty-two million, one hundred twenty-three thousand, three hundred forty-nine".