24142422221400 has 384 divisors, whose sum is σ = 86218256678400. Its totient is φ = 5474099404800.

The previous prime is 24142422221399. The next prime is 24142422221417. The reversal of 24142422221400 is 412222424142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1855818096 + ... + 1855831104.

It is an arithmetic number, because the mean of its divisors is an integer number (224526710100).

Almost surely, 2^{24142422221400} is an apocalyptic number.

24142422221400 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 24142422221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43109128339200).

24142422221400 is an abundant number, since it is smaller than the sum of its proper divisors (62075834457000).

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

24142422221400 is a wasteful number, since it uses less digits than its factorization.

24142422221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16539 (or 16530 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 24142422221400 its reverse (412222424142), we get a palindrome (24554644645542).

The spelling of 24142422221400 in words is "twenty-four trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty-one thousand, four hundred".