42200350272 has 224 divisors, whose sum is σ = 127097942400. Its totient is φ = 13725444096.

The previous prime is 42200350261. The next prime is 42200350277. The reversal of 42200350272 is 27205300224.

42200350272 is a `hidden beast` number, since 42 + 2 + 0 + 0 + 350 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42200350277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18040879 + ... + 18043217.

Almost surely, 2^42200350272 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 42200350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63548971200).

42200350272 is an abundant number, since it is smaller than the sum of its proper divisors (84897592128).

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

42200350272 is a wasteful number, since it uses less digits than its factorization.

42200350272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 42200350272 its reverse (27205300224), we get a palindrome (69405650496).

The spelling of 42200350272 in words is "forty-two billion, two hundred million, three hundred fifty thousand, two hundred seventy-two".