4280640460824 has 384 divisors, whose sum is σ = 13485452590080. Its totient is φ = 1108409702400.

The previous prime is 4280640460787. The next prime is 4280640460843.

4280640460824 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1092834514 + ... + 1092838430.

It is an arithmetic number, because the mean of its divisors is an integer number (35118366120).

Almost surely, 2^{4280640460824} 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 4280640460824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742726295040).

4280640460824 is an abundant number, since it is smaller than the sum of its proper divisors (9204812129256).

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

4280640460824 is a wasteful number, since it uses less digits than its factorization.

4280640460824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 4280640460824 in words is "four trillion, two hundred eighty billion, six hundred forty million, four hundred sixty thousand, eight hundred twenty-four".