24220042240400 has 60 divisors (see below), whose sum is σ = 60718592874432. Its totient is φ = 9266798766720.

The previous prime is 24220042240393. The next prime is 24220042240403. The reversal of 24220042240400 is 404224002242.

It is a super-2 number, since 2×24220042240400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24220042240400.

It is not an unprimeable number, because it can be changed into a prime (24220042240403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1316297444 + ... + 1316315843.

Almost surely, 2^{24220042240400} is an apocalyptic number.

24220042240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24220042240400 is an abundant number, since it is smaller than the sum of its proper divisors (36498550634032).

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

24220042240400 is a wasteful number, since it uses less digits than its factorization.

24220042240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632613328 (or 2632613317 counting only the distinct ones).

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

Adding to 24220042240400 its reverse (404224002242), we get a palindrome (24624266242642).

The spelling of 24220042240400 in words is "twenty-four trillion, two hundred twenty billion, forty-two million, two hundred forty thousand, four hundred".