4281240960 has 256 divisors, whose sum is σ = 15308568000. Its totient is φ = 1130692608.

The previous prime is 4281240941. The next prime is 4281240967. The reversal of 4281240960 is 690421824.

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 (4281240967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1882384 + ... + 1884656.

Almost surely, 2^4281240960 is an apocalyptic number.

4281240960 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 4281240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654284000).

4281240960 is an abundant number, since it is smaller than the sum of its proper divisors (11027327040).

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

4281240960 is a wasteful number, since it uses less digits than its factorization.

4281240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4281240960 is about 65431.1925613465. The cubic root of 4281240960 is about 1623.7651791486.

The spelling of 4281240960 in words is "four billion, two hundred eighty-one million, two hundred forty thousand, nine hundred sixty".