4133348496 has 120 divisors (see below), whose sum is σ = 11768193216. Its totient is φ = 1354026240.

The previous prime is 4133348489. The next prime is 4133348497. The reversal of 4133348496 is 6948433314.

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

It is not an unprimeable number, because it can be changed into a prime (4133348497) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5346766 + ... + 5347538.

Almost surely, 2^4133348496 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 4133348496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884096608).

4133348496 is an abundant number, since it is smaller than the sum of its proper divisors (7634844720).

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

4133348496 is a wasteful number, since it uses less digits than its factorization.

4133348496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1372 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4133348496 is about 64291.1229953249. The cubic root of 4133348496 is about 1604.8483788410.

The spelling of 4133348496 in words is "four billion, one hundred thirty-three million, three hundred forty-eight thousand, four hundred ninety-six".