4281456816 has 360 divisors, whose sum is σ = 15214713696. Its totient is φ = 1099837440.

The previous prime is 4281456791. The next prime is 4281456863. The reversal of 4281456816 is 6186541824.

It is a happy number.

4281456816 is a `hidden beast` number, since 4 + 2 + 81 + 4 + 568 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6984126 + ... + 6984738.

Almost surely, 2^4281456816 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 4281456816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607356848).

4281456816 is an abundant number, since it is smaller than the sum of its proper divisors (10933256880).

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

4281456816 is a wasteful number, since it uses less digits than its factorization.

4281456816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 4281456816 is about 65432.8420290606. The cubic root of 4281456816 is about 1623.7924682430.

The spelling of 4281456816 in words is "four billion, two hundred eighty-one million, four hundred fifty-six thousand, eight hundred sixteen".