4281633432 has 160 divisors (see below), whose sum is σ = 12832921200. Its totient is φ = 1329696000.

The previous prime is 4281633409. The next prime is 4281633443. The reversal of 4281633432 is 2343361824.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 748182 + ... + 753882.

Almost surely, 2^4281633432 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 4281633432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416460600).

4281633432 is an abundant number, since it is smaller than the sum of its proper divisors (8551287768).

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

4281633432 is a wasteful number, since it uses less digits than its factorization.

4281633432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799 (or 5786 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4281633432 is about 65434.1916126424. The cubic root of 4281633432 is about 1623.8147958291.

The spelling of 4281633432 in words is "four billion, two hundred eighty-one million, six hundred thirty-three thousand, four hundred thirty-two".