42834010642200 has 240 divisors, whose sum is σ = 149079473928000. Its totient is φ = 11398554420480.

The previous prime is 42834010642177. The next prime is 42834010642207. The reversal of 42834010642200 is 224601043824.

42834010642200 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 4 + 0 + 1 + 0 + 642 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×42834010642200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42834010642207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4999806 + ... + 10519794.

It is an arithmetic number, because the mean of its divisors is an integer number (621164474700).

Almost surely, 2^{42834010642200} is an apocalyptic number.

42834010642200 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 42834010642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74539736964000).

42834010642200 is an abundant number, since it is smaller than the sum of its proper divisors (106245463285800).

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

42834010642200 is a wasteful number, since it uses less digits than its factorization.

42834010642200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520496 (or 5520478 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42834010642200 in words is "forty-two trillion, eight hundred thirty-four billion, ten million, six hundred forty-two thousand, two hundred".