42006382200 has 144 divisors (see below), whose sum is σ = 141166321920. Its totient is φ = 11194168320.

The previous prime is 42006382157. The next prime is 42006382207. The reversal of 42006382200 is 228360024.

42006382200 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 638 + 2 + 20 + 0 = 666.

42006382200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42006382200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42006382207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2986384 + ... + 3000416.

It is an arithmetic number, because the mean of its divisors is an integer number (980321680).

Almost surely, 2^42006382200 is an apocalyptic number.

42006382200 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 42006382200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70583160960).

42006382200 is an abundant number, since it is smaller than the sum of its proper divisors (99159939720).

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

42006382200 is a wasteful number, since it uses less digits than its factorization.

42006382200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15718 (or 15706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42006382200 in words is "forty-two billion, six million, three hundred eighty-two thousand, two hundred".