4281384960 has 180 divisors, whose sum is σ = 14844237408. Its totient is φ = 1141506048.

The previous prime is 4281384937. The next prime is 4281384967. The reversal of 4281384960 is 694831824.

It is a happy number.

4281384960 is a `hidden beast` number, since 4 + 28 + 138 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4281384967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734377 + ... + 740183.

Almost surely, 2^4281384960 is an apocalyptic number.

4281384960 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 4281384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422118704).

4281384960 is an abundant number, since it is smaller than the sum of its proper divisors (10562852448).

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

4281384960 is an equidigital number, since it uses as much as digits as its factorization.

4281384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5817 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4281384960 is about 65432.2929446921. The cubic root of 4281384960 is about 1623.7833841166.

The spelling of 4281384960 in words is "four billion, two hundred eighty-one million, three hundred eighty-four thousand, nine hundred sixty".