42014564244 has 120 divisors (see below), whose sum is σ = 114015686400. Its totient is φ = 13476792960.

The previous prime is 42014564243. The next prime is 42014564287. The reversal of 42014564244 is 44246541024.

42014564244 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 4 + 5 + 642 + 4 + 4 = 666.

It is a super-2 number, since 2×42014564244² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42014564199 and 42014564208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014564243) 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 39 ways as a sum of consecutive naturals, for example, 1786192 + ... + 1809560.

It is an arithmetic number, because the mean of its divisors is an integer number (950130720).

Almost surely, 2^42014564244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42014564244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57007843200).

42014564244 is an abundant number, since it is smaller than the sum of its proper divisors (72001122156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42014564244 is a wasteful number, since it uses less digits than its factorization.

42014564244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23595 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 42014564244 in words is "forty-two billion, fourteen million, five hundred sixty-four thousand, two hundred forty-four".