4048081920 has 440 divisors, whose sum is σ = 14908775904. Its totient is φ = 1049739264.

The previous prime is 4048081913. The next prime is 4048081931. The reversal of 4048081920 is 291808404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17832847 + ... + 17833073.

Almost surely, 2^4048081920 is an apocalyptic number.

4048081920 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 4048081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7454387952).

4048081920 is an abundant number, since it is smaller than the sum of its proper divisors (10860693984).

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

4048081920 is a wasteful number, since it uses less digits than its factorization.

4048081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4048081920 is about 63624.5386623746. The cubic root of 4048081920 is about 1593.7361764891.

The spelling of 4048081920 in words is "four billion, forty-eight million, eighty-one thousand, nine hundred twenty".