42250126200 has 192 divisors, whose sum is σ = 134123558400. Its totient is φ = 10999027200.

The previous prime is 42250126199. The next prime is 42250126213. The reversal of 42250126200 is 262105224.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4382986 + ... + 4392614.

It is an arithmetic number, because the mean of its divisors is an integer number (698560200).

Almost surely, 2^42250126200 is an apocalyptic number.

42250126200 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 42250126200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67061779200).

42250126200 is an abundant number, since it is smaller than the sum of its proper divisors (91873432200).

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

42250126200 is a wasteful number, since it uses less digits than its factorization.

42250126200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 42250126200 in words is "forty-two billion, two hundred fifty million, one hundred twenty-six thousand, two hundred".