4144284800 has 48 divisors (see below), whose sum is σ = 10237686450. Its totient is φ = 1657712640.

The previous prime is 4144284763. The next prime is 4144284827. The reversal of 4144284800 is 84824414.

It can be written as a sum of positive squares in 3 ways, for example, as 2435619904 + 1708664896 = 49352^2 + 41336^2 .

It is a super-2 number, since 2×4144284800² = 34350193007022080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 644345 + ... + 650744.

Almost surely, 2^4144284800 is an apocalyptic number.

4144284800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144284800 is an abundant number, since it is smaller than the sum of its proper divisors (6093401650).

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

4144284800 is a wasteful number, since it uses less digits than its factorization.

4144284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295113 (or 1295096 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

The square root of 4144284800 is about 64376.1197960859. The cubic root of 4144284800 is about 1606.2625392290.

The spelling of 4144284800 in words is "four billion, one hundred forty-four million, two hundred eighty-four thousand, eight hundred".