4532408880 has 80 divisors (see below), whose sum is σ = 14129095680. Its totient is φ = 1201878784.

The previous prime is 4532408863. The next prime is 4532408887. The reversal of 4532408880 is 888042354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4532408887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9792 + ... + 95711.

It is an arithmetic number, because the mean of its divisors is an integer number (176613696).

Almost surely, 2^4532408880 is an apocalyptic number.

4532408880 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 4532408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064547840).

4532408880 is an abundant number, since it is smaller than the sum of its proper divisors (9596686800).

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

4532408880 is a wasteful number, since it uses less digits than its factorization.

4532408880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105698 (or 105692 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 4532408880 is about 67323.1674834154. The cubic root of 4532408880 is about 1654.9175462370.

The spelling of 4532408880 in words is "four billion, five hundred thirty-two million, four hundred eight thousand, eight hundred eighty".