4282680862824 has 256 divisors, whose sum is σ = 13515201638400. Its totient is φ = 1100672520192.

The previous prime is 4282680862729. The next prime is 4282680862829.

It is a happy number.

4282680862824 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4282680862824² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4282680862829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40611237 + ... + 40716555.

It is an arithmetic number, because the mean of its divisors is an integer number (52793756400).

Almost surely, 2^{4282680862824} 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 4282680862824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757600819200).

4282680862824 is an abundant number, since it is smaller than the sum of its proper divisors (9232520775576).

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

4282680862824 is a wasteful number, since it uses less digits than its factorization.

4282680862824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105824 (or 105820 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 60.

The spelling of 4282680862824 in words is "four trillion, two hundred eighty-two billion, six hundred eighty million, eight hundred sixty-two thousand, eight hundred twenty-four".