4144454541200 has 60 divisors (see below), whose sum is σ = 10542760995780. Its totient is φ = 1560265236480.

The previous prime is 4144454541179. The next prime is 4144454541203. The reversal of 4144454541200 is 21454544414.

It can be written as a sum of positive squares in 6 ways, for example, as 231210952336 + 3913243588864 = 480844^2 + 1978192^2 .

It is not an unprimeable number, because it can be changed into a prime (4144454541203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304732505 + ... + 304746104.

It is an arithmetic number, because the mean of its divisors is an integer number (175712683263).

Almost surely, 2^{4144454541200} is an apocalyptic number.

4144454541200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144454541200 is an abundant number, since it is smaller than the sum of its proper divisors (6398306454580).

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

4144454541200 is a wasteful number, since it uses less digits than its factorization.

4144454541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609478644 (or 609478633 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 38.

The spelling of 4144454541200 in words is "four trillion, one hundred forty-four billion, four hundred fifty-four million, five hundred forty-one thousand, two hundred".