42224200431300 has 216 divisors, whose sum is σ = 132776881216616. Its totient is φ = 11223477780480.

The previous prime is 42224200431239. The next prime is 42224200431311. The reversal of 42224200431300 is 313400242224.

42224200431300 is a `hidden beast` number, since 4 + 2 + 2 + 24 + 200 + 431 + 3 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 798603173316 + 41425597257984 = 893646^2 + 6436272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 349428492 + ... + 349549308.

Almost surely, 2^{42224200431300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224200431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66388440608308).

42224200431300 is an abundant number, since it is smaller than the sum of its proper divisors (90552680785316).

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

42224200431300 is a wasteful number, since it uses less digits than its factorization.

42224200431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122087 (or 122077 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 42224200431300 its reverse (313400242224), we get a palindrome (42537600673524).

The spelling of 42224200431300 in words is "forty-two trillion, two hundred twenty-four billion, two hundred million, four hundred thirty-one thousand, three hundred".