42355200 has 120 divisors (see below), whose sum is σ = 140044608. Its totient is φ = 11284480.

The previous prime is 42355193. The next prime is 42355219. The reversal of 42355200 is 255324.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37849 + ... + 38951.

Almost surely, 2^42355200 is an apocalyptic number.

42355200 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 42355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70022304).

42355200 is an abundant number, since it is smaller than the sum of its proper divisors (97689408).

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

42355200 is a wasteful number, since it uses less digits than its factorization.

42355200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 42355200 is about 6508.0872766121. The cubic root of 42355200 is about 348.5798234499.

The spelling of 42355200 in words is "forty-two million, three hundred fifty-five thousand, two hundred".