224011241040000 has 160 divisors (see below), whose sum is σ = 743549312618640. Its totient is φ = 59736330880000.

The previous prime is 224011241039953. The next prime is 224011241040001. The reversal of 224011241040000 is 40142110422.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×224011241040000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224011241040001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 466450086 + ... + 466930085.

Almost surely, 2^{224011241040000} is an apocalyptic number.

224011241040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224011241040000 is an abundant number, since it is smaller than the sum of its proper divisors (519538071578640).

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

224011241040000 is an frugal number, since it uses more digits than its factorization.

224011241040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933380208 (or 933380181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 224011241040000 its reverse (40142110422), we get a palindrome (224051383150422).

The spelling of 224011241040000 in words is "two hundred twenty-four trillion, eleven billion, two hundred forty-one million, forty thousand".