4281797760 has 256 divisors, whose sum is σ = 14551695360. Its totient is φ = 1068412928.

The previous prime is 4281797759. The next prime is 4281797789. The reversal of 4281797760 is 677971824.

4281797760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2074489 + ... + 2076551.

It is an arithmetic number, because the mean of its divisors is an integer number (56842560).

Almost surely, 2^4281797760 is an apocalyptic number.

4281797760 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 4281797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275847680).

4281797760 is an abundant number, since it is smaller than the sum of its proper divisors (10269897600).

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

4281797760 is a wasteful number, since it uses less digits than its factorization.

4281797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The square root of 4281797760 is about 65435.4472743940. The cubic root of 4281797760 is about 1623.8355694294.

The spelling of 4281797760 in words is "four billion, two hundred eighty-one million, seven hundred ninety-seven thousand, seven hundred sixty".