42144420636 has 96 divisors (see below), whose sum is σ = 113369256000. Its totient is φ = 13523134464.

The previous prime is 42144420629. The next prime is 42144420709. The reversal of 42144420636 is 63602444124.

42144420636 is a `hidden beast` number, since 4 + 2 + 1 + 444 + 206 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42144420636.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035520 + ... + 1075448.

It is an arithmetic number, because the mean of its divisors is an integer number (1180929750).

Almost surely, 2^42144420636 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 42144420636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56684628000).

42144420636 is an abundant number, since it is smaller than the sum of its proper divisors (71224835364).

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

42144420636 is a wasteful number, since it uses less digits than its factorization.

42144420636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40308 (or 40300 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42144420636 in words is "forty-two billion, one hundred forty-four million, four hundred twenty thousand, six hundred thirty-six".