42718150200 has 192 divisors, whose sum is σ = 148370325120. Its totient is φ = 10075968000.

The previous prime is 42718150199. The next prime is 42718150201. The reversal of 42718150200 is 205181724.

It is an interprime number because it is at equal distance from previous prime (42718150199) and next prime (42718150201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42718150201) by changing a digit.

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, 156735 + ... + 331665.

It is an arithmetic number, because the mean of its divisors is an integer number (772762110).

Almost surely, 2^42718150200 is an apocalyptic number.

42718150200 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 42718150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74185162560).

42718150200 is an abundant number, since it is smaller than the sum of its proper divisors (105652174920).

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

42718150200 is a wasteful number, since it uses less digits than its factorization.

42718150200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174998 (or 174989 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 42718150200 in words is "forty-two billion, seven hundred eighteen million, one hundred fifty thousand, two hundred".