42801138 has 48 divisors (see below), whose sum is σ = 99844056. Its totient is φ = 13201920.

The previous prime is 42801133. The next prime is 42801163. The reversal of 42801138 is 83110824.

It can be written as a sum of positive squares in 4 ways, for example, as 26904969 + 15896169 = 5187^2 + 3987^2 .

It is not an unprimeable number, because it can be changed into a prime (42801131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17520 + ... + 19812.

Almost surely, 2^42801138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42801138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49922028).

42801138 is an abundant number, since it is smaller than the sum of its proper divisors (57042918).

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

42801138 is a wasteful number, since it uses less digits than its factorization.

42801138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 42801138 is about 6542.2578671281. The cubic root of 42801138 is about 349.7988994412.

The spelling of 42801138 in words is "forty-two million, eight hundred one thousand, one hundred thirty-eight".