4152445200 has 90 divisors (see below), whose sum is σ = 14410150794. Its totient is φ = 1107317760.

The previous prime is 4152445151. The next prime is 4152445217. The reversal of 4152445200 is 25442514.

4152445200 is a `hidden beast` number, since 4 + 15 + 2 + 445 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 35426304 + 4117018896 = 5952^2 + 64164^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×4152445200² = 34485602278006080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 573129 + ... + 580328.

Almost surely, 2^4152445200 is an apocalyptic number.

4152445200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4152445200 is an abundant number, since it is smaller than the sum of its proper divisors (10257705594).

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

4152445200 is a wasteful number, since it uses less digits than its factorization.

4152445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153481 (or 1153467 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4152445200 is about 64439.4692715575. The cubic root of 4152445200 is about 1607.3161308205.

Adding to 4152445200 its reverse (25442514), we get a palindrome (4177887714).

The spelling of 4152445200 in words is "four billion, one hundred fifty-two million, four hundred forty-five thousand, two hundred".