4481212800 has 192 divisors, whose sum is σ = 14803851600. Its totient is φ = 1191444480.

The previous prime is 4481212787. The next prime is 4481212817. The reversal of 4481212800 is 82121844.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5538796 + ... + 5539604.

Almost surely, 2^4481212800 is an apocalyptic number.

4481212800 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 4481212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401925800).

4481212800 is an abundant number, since it is smaller than the sum of its proper divisors (10322638800).

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

4481212800 is a wasteful number, since it uses less digits than its factorization.

4481212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4481212800 is about 66941.8613425112. The cubic root of 4481212800 is about 1648.6628652759.

The spelling of 4481212800 in words is "four billion, four hundred eighty-one million, two hundred twelve thousand, eight hundred".