4281464376 has 144 divisors (see below), whose sum is σ = 13628946240. Its totient is φ = 1210567680.

The previous prime is 4281464347. The next prime is 4281464413. The reversal of 4281464376 is 6734641824.

4281464376 is a `hidden beast` number, since 42 + 81 + 464 + 3 + 76 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 335961 + ... + 348471.

It is an arithmetic number, because the mean of its divisors is an integer number (94645460).

Almost surely, 2^4281464376 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 4281464376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814473120).

4281464376 is an abundant number, since it is smaller than the sum of its proper divisors (9347481864).

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

4281464376 is a wasteful number, since it uses less digits than its factorization.

4281464376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12634 (or 12620 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4281464376 is about 65432.8997981902. The cubic root of 4281464376 is about 1623.7934239819.

The spelling of 4281464376 in words is "four billion, two hundred eighty-one million, four hundred sixty-four thousand, three hundred seventy-six".