4483077120 has 264 divisors, whose sum is σ = 15634494720. Its totient is φ = 1187758080.

The previous prime is 4483077107. The next prime is 4483077149. The reversal of 4483077120 is 217703844.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 12487501 + ... + 12487859.

Almost surely, 2^4483077120 is an apocalyptic number.

4483077120 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 4483077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817247360).

4483077120 is an abundant number, since it is smaller than the sum of its proper divisors (11151417600).

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

4483077120 is a wasteful number, since it uses less digits than its factorization.

4483077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4483077120 is about 66955.7848135619. The cubic root of 4483077120 is about 1648.8914647754.

The spelling of 4483077120 in words is "four billion, four hundred eighty-three million, seventy-seven thousand, one hundred twenty".