42204997200 has 240 divisors, whose sum is σ = 141135934976. Its totient is φ = 10770278400.

The previous prime is 42204997193. The next prime is 42204997207. The reversal of 42204997200 is 279940224.

It is an interprime number because it is at equal distance from previous prime (42204997193) and next prime (42204997207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42204997207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2700609 + ... + 2716191.

Almost surely, 2^42204997200 is an apocalyptic number.

42204997200 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 42204997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70567967488).

42204997200 is an abundant number, since it is smaller than the sum of its proper divisors (98930937776).

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

42204997200 is a wasteful number, since it uses less digits than its factorization.

42204997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15702 (or 15691 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 42204997200 in words is "forty-two billion, two hundred four million, nine hundred ninety-seven thousand, two hundred".