224025143342000 has 1280 divisors, whose sum is σ = 766797001850880. Its totient is φ = 60965955072000.

The previous prime is 224025143341999. The next prime is 224025143342027. The reversal of 224025143342000 is 243341520422.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25979949689 + ... + 25979958311.

It is an arithmetic number, because the mean of its divisors is an integer number (599060157696).

Almost surely, 2^{224025143342000} is an apocalyptic number.

224025143342000 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 224025143342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383398500925440).

224025143342000 is an abundant number, since it is smaller than the sum of its proper divisors (542771858508880).

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

224025143342000 is a wasteful number, since it uses less digits than its factorization.

224025143342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9379 (or 9363 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 224025143342000 its reverse (243341520422), we get a palindrome (224268484862422).

The spelling of 224025143342000 in words is "two hundred twenty-four trillion, twenty-five billion, one hundred forty-three million, three hundred forty-two thousand".