4432986432 has 168 divisors, whose sum is σ = 14554053696. Its totient is φ = 1263734784.

The previous prime is 4432986367. The next prime is 4432986433. The reversal of 4432986432 is 2346892344.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432986433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365848 + ... + 2367720.

It is an arithmetic number, because the mean of its divisors is an integer number (86631272).

Almost surely, 2^4432986432 is an apocalyptic number.

4432986432 is a gapful number since it is divisible by the number (42) 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 4432986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277026848).

4432986432 is an abundant number, since it is smaller than the sum of its proper divisors (10121067264).

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

4432986432 is a wasteful number, since it uses less digits than its factorization.

4432986432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2472 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 4432986432 is about 66580.6761155217. The cubic root of 4432986432 is about 1642.7272725409.

The spelling of 4432986432 in words is "four billion, four hundred thirty-two million, nine hundred eighty-six thousand, four hundred thirty-two".