224465374671240 has 256 divisors, whose sum is σ = 712511831808000. Its totient is φ = 56413677312000.

The previous prime is 224465374671217. The next prime is 224465374671247. The reversal of 224465374671240 is 42176473564422.

224465374671240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (224465374671247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479909172 + ... + 480376668.

It is an arithmetic number, because the mean of its divisors is an integer number (2783249343000).

Almost surely, 2^{224465374671240} is an apocalyptic number.

224465374671240 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 224465374671240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356255915904000).

224465374671240 is an abundant number, since it is smaller than the sum of its proper divisors (488046457136760).

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

224465374671240 is a wasteful number, since it uses less digits than its factorization.

224465374671240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468620 (or 468616 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 57.

The spelling of 224465374671240 in words is "two hundred twenty-four trillion, four hundred sixty-five billion, three hundred seventy-four million, six hundred seventy-one thousand, two hundred forty".