24221400000 has 672 divisors, whose sum is σ = 93973985280. Its totient is φ = 5391360000.

The previous prime is 24221399999. The next prime is 24221400017. The reversal of 24221400000 is 412242.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 306599961 + ... + 306600039.

It is an arithmetic number, because the mean of its divisors is an integer number (139842240).

Almost surely, 2^24221400000 is an apocalyptic number.

24221400000 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 24221400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46986992640).

24221400000 is an abundant number, since it is smaller than the sum of its proper divisors (69752585280).

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

24221400000 is an frugal number, since it uses more digits than its factorization.

24221400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 24221400000 its reverse (412242), we get a palindrome (24221812242).

The spelling of 24221400000 in words is "twenty-four billion, two hundred twenty-one million, four hundred thousand".