4281991560 has 768 divisors, whose sum is σ = 18631065600. Its totient is φ = 855360000.

The previous prime is 4281991559. The next prime is 4281991583. The reversal of 4281991560 is 651991824.

4281991560 is a `hidden beast` number, since 4 + 2 + 81 + 9 + 9 + 1 + 560 = 666.

It is a super-2 number, since 2×4281991560² = 36670903439822467200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28357485 + ... + 28357635.

It is an arithmetic number, because the mean of its divisors is an integer number (24259200).

Almost surely, 2^4281991560 is an apocalyptic number.

4281991560 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 4281991560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9315532800).

4281991560 is an abundant number, since it is smaller than the sum of its proper divisors (14349074040).

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

4281991560 is a wasteful number, since it uses less digits than its factorization.

4281991560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4281991560 is about 65436.9281063835. The cubic root of 4281991560 is about 1623.8600680632.

The spelling of 4281991560 in words is "four billion, two hundred eighty-one million, nine hundred ninety-one thousand, five hundred sixty".