42136212144 has 160 divisors (see below), whose sum is σ = 126021934080. Its totient is φ = 12021129216.

The previous prime is 42136212143. The next prime is 42136212179. The reversal of 42136212144 is 44121263124.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42136212143) 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 31 ways as a sum of consecutive naturals, for example, 519424 + ... + 595040.

It is an arithmetic number, because the mean of its divisors is an integer number (787637088).

Almost surely, 2^42136212144 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 42136212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63010967040).

42136212144 is an abundant number, since it is smaller than the sum of its proper divisors (83885721936).

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

42136212144 is a wasteful number, since it uses less digits than its factorization.

42136212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75707 (or 75701 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 42136212144 its reverse (44121263124), we get a palindrome (86257475268).

The spelling of 42136212144 in words is "forty-two billion, one hundred thirty-six million, two hundred twelve thousand, one hundred forty-four".