4132348992 has 84 divisors (see below), whose sum is σ = 11966903676. Its totient is φ = 1363230720.

The previous prime is 4132348937. The next prime is 4132349021. The reversal of 4132348992 is 2998432314.

It can be written as a sum of positive squares in 2 ways, for example, as 2944581696 + 1187767296 = 54264^2 + 34464^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18892 + ... + 92852.

It is an arithmetic number, because the mean of its divisors is an integer number (142463139).

Almost surely, 2^4132348992 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 4132348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983451838).

4132348992 is an abundant number, since it is smaller than the sum of its proper divisors (7834554684).

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

4132348992 is a wasteful number, since it uses less digits than its factorization.

4132348992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74076 (or 74063 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 4132348992 is about 64283.3492593533. The cubic root of 4132348992 is about 1604.7190098248.

The spelling of 4132348992 in words is "four billion, one hundred thirty-two million, three hundred forty-eight thousand, nine hundred ninety-two".