24142044200004 has 36 divisors (see below), whose sum is σ = 61026083514396. Its totient is φ = 8047300505088.

The previous prime is 24142044199859. The next prime is 24142044200051. The reversal of 24142044200004 is 40000244024142.

24142044200004 is a `hidden beast` number, since 2 + 414 + 2 + 0 + 44 + 200 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17902799568900 + 6239244631104 = 4231170^2 + 2497848^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4482892 + ... + 8269244.

It is an arithmetic number, because the mean of its divisors is an integer number (1695168986511).

Almost surely, 2^{24142044200004} is an apocalyptic number.

It is an amenable number.

24142044200004 is an abundant number, since it is smaller than the sum of its proper divisors (36884039314392).

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

24142044200004 is a wasteful number, since it uses less digits than its factorization.

24142044200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963476 (or 3963471 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 24142044200004 its reverse (40000244024142), we get a palindrome (64142288224146).

The spelling of 24142044200004 in words is "twenty-four trillion, one hundred forty-two billion, forty-four million, two hundred thousand, four".