4481265600 has 1008 divisors, whose sum is σ = 19927519200. Its totient is φ = 975421440.

The previous prime is 4481265563. The next prime is 4481265643. The reversal of 4481265600 is 65621844.

4481265600 is a `hidden beast` number, since 4 + 48 + 1 + 2 + 6 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61387164 + ... + 61387236.

Almost surely, 2^4481265600 is an apocalyptic number.

4481265600 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 4481265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9963759600).

4481265600 is an abundant number, since it is smaller than the sum of its proper divisors (15446253600).

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

4481265600 is a wasteful number, since it uses less digits than its factorization.

4481265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4481265600 is about 66942.2557134132. The cubic root of 4481265600 is about 1648.6693403874.

The spelling of 4481265600 in words is "four billion, four hundred eighty-one million, two hundred sixty-five thousand, six hundred".