4481578752 has 144 divisors (see below), whose sum is σ = 13672888320. Its totient is φ = 1276563456.

The previous prime is 4481578747. The next prime is 4481578763. The reversal of 4481578752 is 2578751844.

It is a happy number.

It is a super-2 number, since 2×4481578752² = 40169096220755755008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4481578695 and 4481578704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2090193 + ... + 2092335.

Almost surely, 2^4481578752 is an apocalyptic number.

4481578752 is a gapful number since it is divisible by the number (42) 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 4481578752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836444160).

4481578752 is an abundant number, since it is smaller than the sum of its proper divisors (9191309568).

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

4481578752 is a wasteful number, since it uses less digits than its factorization.

4481578752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2544 counting only the distinct ones).

The product of its digits is 2508800, while the sum is 51.

The square root of 4481578752 is about 66944.5946436305. The cubic root of 4481578752 is about 1648.7077426396.

The spelling of 4481578752 in words is "four billion, four hundred eighty-one million, five hundred seventy-eight thousand, seven hundred fifty-two".