42055200 has 360 divisors, whose sum is σ = 170145360. Its totient is φ = 10022400.

The previous prime is 42055193. The next prime is 42055207. The reversal of 42055200 is 255024.

It is an interprime number because it is at equal distance from previous prime (42055193) and next prime (42055207).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42055207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 712771 + ... + 712829.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^42055200 is an apocalyptic number.

42055200 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 42055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

42055200 is an abundant number, since it is smaller than the sum of its proper divisors (128090160).

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

42055200 is a wasteful number, since it uses less digits than its factorization.

42055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 42055200 is about 6484.9980724747. The cubic root of 42055200 is about 347.7548808949.

The spelling of 42055200 in words is "forty-two million, fifty-five thousand, two hundred".