4381171200 has 480 divisors, whose sum is σ = 18388465920. Its totient is φ = 1000857600.

The previous prime is 4381171159. The next prime is 4381171237. The reversal of 4381171200 is 21711834.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4381171200² = 38389322167418880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 2418295 + ... + 2420105.

It is an arithmetic number, because the mean of its divisors is an integer number (38309304).

Almost surely, 2^4381171200 is an apocalyptic number.

4381171200 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 4381171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9194232960).

4381171200 is an abundant number, since it is smaller than the sum of its proper divisors (14007294720).

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

4381171200 is a wasteful number, since it uses less digits than its factorization.

4381171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 4381171200 is about 66190.4162247073. The cubic root of 4381171200 is about 1636.3017996835.

The spelling of 4381171200 in words is "four billion, three hundred eighty-one million, one hundred seventy-one thousand, two hundred".