24002444042000 has 80 divisors (see below), whose sum is σ = 58040311633200. Its totient is φ = 9600580275200.

The previous prime is 24002444041951. The next prime is 24002444042039. The reversal of 24002444042000 is 24044420042.

It can be written as a sum of positive squares in 8 ways, for example, as 9425808741904 + 14576635300096 = 3070148^2 + 3817936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×24002444042000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50702396 + ... + 51173604.

It is an arithmetic number, because the mean of its divisors is an integer number (725503895415).

Almost surely, 2^{24002444042000} is an apocalyptic number.

24002444042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24002444042000 is an abundant number, since it is smaller than the sum of its proper divisors (34037867591200).

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

24002444042000 is a wasteful number, since it uses less digits than its factorization.

24002444042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496701 (or 496685 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 24002444042000 its reverse (24044420042), we get a palindrome (24026488462042).

The spelling of 24002444042000 in words is "twenty-four trillion, two billion, four hundred forty-four million, forty-two thousand".