42444213414031 has 12 divisors (see below), whose sum is σ = 50138511383160. Its totient is φ = 35617521744480.

The previous prime is 42444213414013. The next prime is 42444213414079. The reversal of 42444213414031 is 13041431244424.

It is not a de Polignac number, because 42444213414031 - 2⁹ = 42444213413519 is a prime.

It is a super-5 number, since 5×42444213414031⁵ (a number of 69 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444213414011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11415870496 + ... + 11415874213.

It is an arithmetic number, because the mean of its divisors is an integer number (4178209281930).

Almost surely, 2^{42444213414031} is an apocalyptic number.

42444213414031 is a deficient number, since it is larger than the sum of its proper divisors (7694297969129).

42444213414031 is a wasteful number, since it uses less digits than its factorization.

42444213414031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22831744746 (or 22831744733 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 42444213414031 its reverse (13041431244424), we get a palindrome (55485644658455).

The spelling of 42444213414031 in words is "forty-two trillion, four hundred forty-four billion, two hundred thirteen million, four hundred fourteen thousand, thirty-one".