42113194200 has 576 divisors, whose sum is σ = 177076523520. Its totient is φ = 8713728000.

The previous prime is 42113194171. The next prime is 42113194217. The reversal of 42113194200 is 249131124.

It is a happy number.

42113194200 is a `hidden beast` number, since 421 + 1 + 31 + 9 + 4 + 200 = 666.

It is a super-2 number, since 2×42113194200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43104112 + ... + 43105088.

It is an arithmetic number, because the mean of its divisors is an integer number (307424520).

Almost surely, 2^42113194200 is an apocalyptic number.

42113194200 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 42113194200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88538261760).

42113194200 is an abundant number, since it is smaller than the sum of its proper divisors (134963329320).

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

42113194200 is a wasteful number, since it uses less digits than its factorization.

42113194200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 42113194200 in words is "forty-two billion, one hundred thirteen million, one hundred ninety-four thousand, two hundred".