224023421231400 has 768 divisors, whose sum is σ = 839632260096000. Its totient is φ = 48268089216000.

The previous prime is 224023421231377. The next prime is 224023421231429. The reversal of 224023421231400 is 4132124320422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48166719075 + ... + 48166723725.

It is an arithmetic number, because the mean of its divisors is an integer number (1093271172000).

Almost surely, 2^{224023421231400} is an apocalyptic number.

224023421231400 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 224023421231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419816130048000).

224023421231400 is an abundant number, since it is smaller than the sum of its proper divisors (615608838864600).

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

224023421231400 is a wasteful number, since it uses less digits than its factorization.

224023421231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 224023421231400 its reverse (4132124320422), we get a palindrome (228155545551822).

The spelling of 224023421231400 in words is "two hundred twenty-four trillion, twenty-three billion, four hundred twenty-one million, two hundred thirty-one thousand, four hundred".