4005451332 has 72 divisors (see below), whose sum is σ = 10667311200. Its totient is φ = 1263748608.

The previous prime is 4005451321. The next prime is 4005451397. The reversal of 4005451332 is 2331545004.

It is a junction number, because it is equal to n+sod(n) for n = 4005451296 and 4005451305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1105588 + ... + 1109204.

It is an arithmetic number, because the mean of its divisors is an integer number (148157100).

Almost surely, 2^4005451332 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 4005451332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333655600).

4005451332 is an abundant number, since it is smaller than the sum of its proper divisors (6661859868).

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

4005451332 is a wasteful number, since it uses less digits than its factorization.

4005451332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4005451332 is about 63288.6350935142. The cubic root of 4005451332 is about 1588.1218454729.

Adding to 4005451332 its reverse (2331545004), we get a palindrome (6336996336).

The spelling of 4005451332 in words is "four billion, five million, four hundred fifty-one thousand, three hundred thirty-two".