4282120348110 has 320 divisors, whose sum is σ = 13426721409024. Its totient is φ = 968735116800.

The previous prime is 4282120348019. The next prime is 4282120348117. The reversal of 4282120348110 is 118430212824.

4282120348110 is a `hidden beast` number, since 4 + 2 + 82 + 120 + 348 + 110 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4282120348117) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8147307 + ... + 8656953.

Almost surely, 2^{4282120348110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4282120348110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713360704512).

4282120348110 is an abundant number, since it is smaller than the sum of its proper divisors (9144601060914).

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

4282120348110 is a wasteful number, since it uses less digits than its factorization.

4282120348110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509741 (or 509732 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 4282120348110 in words is "four trillion, two hundred eighty-two billion, one hundred twenty million, three hundred forty-eight thousand, one hundred ten".