42638733144 has 192 divisors, whose sum is σ = 133026167040. Its totient is φ = 12086081280.

The previous prime is 42638733143. The next prime is 42638733161. The reversal of 42638733144 is 44133783624.

42638733144 is a `hidden beast` number, since 4 + 2 + 638 + 7 + 3 + 3 + 1 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42638733144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42638733143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58169802 + ... + 58170534.

It is an arithmetic number, because the mean of its divisors is an integer number (692844620).

Almost surely, 2^42638733144 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 42638733144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66513083520).

42638733144 is an abundant number, since it is smaller than the sum of its proper divisors (90387433896).

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

42638733144 is a wasteful number, since it uses less digits than its factorization.

42638733144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1503 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 42638733144 in words is "forty-two billion, six hundred thirty-eight million, seven hundred thirty-three thousand, one hundred forty-four".