42555904200 has 192 divisors, whose sum is σ = 146906668800. Its totient is φ = 11323065600.

The previous prime is 42555904187. The next prime is 42555904207. The reversal of 42555904200 is 240955524.

42555904200 is a `hidden beast` number, since 4 + 25 + 5 + 590 + 42 + 0 + 0 = 666.

It is a super-2 number, since 2×42555904200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42555904207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491690 + ... + 2508710.

It is an arithmetic number, because the mean of its divisors is an integer number (765138900).

Almost surely, 2^42555904200 is an apocalyptic number.

42555904200 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 42555904200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73453334400).

42555904200 is an abundant number, since it is smaller than the sum of its proper divisors (104350764600).

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

42555904200 is a wasteful number, since it uses less digits than its factorization.

42555904200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17509 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 42555904200 in words is "forty-two billion, five hundred fifty-five million, nine hundred four thousand, two hundred".