42200251342200 has 576 divisors, whose sum is σ = 165298051676160. Its totient is φ = 9448094223360.

The previous prime is 42200251342019. The next prime is 42200251342217. The reversal of 42200251342200 is 224315200224.

42200251342200 is a `hidden beast` number, since 4 + 2 + 200 + 25 + 13 + 422 + 0 + 0 = 666.

It is a super-2 number, since 2×42200251342200² (a number of 28 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, 405302547 + ... + 405406653.

It is an arithmetic number, because the mean of its divisors is an integer number (286975784160).

Almost surely, 2^{42200251342200} is an apocalyptic number.

42200251342200 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 42200251342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82649025838080).

42200251342200 is an abundant number, since it is smaller than the sum of its proper divisors (123097800333960).

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

42200251342200 is a wasteful number, since it uses less digits than its factorization.

42200251342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104796 (or 104784 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42200251342200 its reverse (224315200224), we get a palindrome (42424566542424).

The spelling of 42200251342200 in words is "forty-two trillion, two hundred billion, two hundred fifty-one million, three hundred forty-two thousand, two hundred".