42361800 has 96 divisors (see below), whose sum is σ = 141449280. Its totient is φ = 10425600.

The previous prime is 42361799. The next prime is 42361801. The reversal of 42361800 is 816324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42361799) and next prime (42361801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42361801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5085 + ... + 10515.

It is an arithmetic number, because the mean of its divisors is an integer number (1473430).

Almost surely, 2^42361800 is an apocalyptic number.

42361800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42361800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70724640).

42361800 is an abundant number, since it is smaller than the sum of its proper divisors (99087480).

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

42361800 is a wasteful number, since it uses less digits than its factorization.

42361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42361800 is about 6508.5943182841. The cubic root of 42361800 is about 348.5979283292.

The spelling of 42361800 in words is "forty-two million, three hundred sixty-one thousand, eight hundred".