24220223140400 has 240 divisors, whose sum is σ = 66978414148800. Its totient is φ = 8244647424000.

The previous prime is 24220223140361. The next prime is 24220223140411. The reversal of 24220223140400 is 404132202242.

It is a super-2 number, since 2×24220223140400² (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 24220223140400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571898426 + ... + 571940774.

It is an arithmetic number, because the mean of its divisors is an integer number (279076725620).

Almost surely, 2^{24220223140400} is an apocalyptic number.

24220223140400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24220223140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33489207074400).

24220223140400 is an abundant number, since it is smaller than the sum of its proper divisors (42758191008400).

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

24220223140400 is a wasteful number, since it uses less digits than its factorization.

24220223140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43832 (or 43821 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 24220223140400 its reverse (404132202242), we get a palindrome (24624355342642).

The spelling of 24220223140400 in words is "twenty-four trillion, two hundred twenty billion, two hundred twenty-three million, one hundred forty thousand, four hundred".