4424200341120 has 288 divisors, whose sum is σ = 17771573741220. Its totient is φ = 1011245727744.

The previous prime is 4424200341109. The next prime is 4424200341151. The reversal of 4424200341120 is 211430024244.

4424200341120 is a `hidden beast` number, since 4 + 4 + 24 + 200 + 3 + 411 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4422003356736 + 2196984384 = 2102856^2 + 46872^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7555417 + ... + 8119896.

Almost surely, 2^{4424200341120} is an apocalyptic number.

4424200341120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424200341120 is an abundant number, since it is smaller than the sum of its proper divisors (13347373400100).

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

4424200341120 is a wasteful number, since it uses less digits than its factorization.

4424200341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15675352 (or 15675330 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4424200341120 its reverse (211430024244), we get a palindrome (4635630365364).

The spelling of 4424200341120 in words is "four trillion, four hundred twenty-four billion, two hundred million, three hundred forty-one thousand, one hundred twenty".