4051441200 has 120 divisors (see below), whose sum is σ = 13030790976. Its totient is φ = 1076000000.

The previous prime is 4051441187. The next prime is 4051441217. The reversal of 4051441200 is 21441504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 294475 + ... + 307925.

Almost surely, 2^4051441200 is an apocalyptic number.

4051441200 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 4051441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515395488).

4051441200 is an abundant number, since it is smaller than the sum of its proper divisors (8979349776).

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

4051441200 is a wasteful number, since it uses less digits than its factorization.

4051441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13723 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4051441200 is about 63650.9324362181. The cubic root of 4051441200 is about 1594.1769058607.

Adding to 4051441200 its reverse (21441504), we get a palindrome (4072882704).

The spelling of 4051441200 in words is "four billion, fifty-one million, four hundred forty-one thousand, two hundred".