42413050200 has 192 divisors, whose sum is σ = 140468688000. Its totient is φ = 10554762240.

The previous prime is 42413050153. The next prime is 42413050201. The reversal of 42413050200 is 205031424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413050201) 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, 736036 + ... + 791564.

It is an arithmetic number, because the mean of its divisors is an integer number (731607750).

Almost surely, 2^42413050200 is an apocalyptic number.

42413050200 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 42413050200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70234344000).

42413050200 is an abundant number, since it is smaller than the sum of its proper divisors (98055637800).

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

42413050200 is a wasteful number, since it uses less digits than its factorization.

42413050200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55634 (or 55625 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 42413050200 its reverse (205031424), we get a palindrome (42618081624).

The spelling of 42413050200 in words is "forty-two billion, four hundred thirteen million, fifty thousand, two hundred".