224562443040 has 1344 divisors, whose sum is σ = 919541984256. Its totient is φ = 51370868736.

The previous prime is 224562443023. The next prime is 224562443099. The reversal of 224562443040 is 40344265422.

224562443040 is a `hidden beast` number, since 2 + 24 + 5 + 624 + 4 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224562442986 and 224562443004.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1639141852 + ... + 1639141988.

It is an arithmetic number, because the mean of its divisors is an integer number (684183024).

Almost surely, 2^224562443040 is an apocalyptic number.

224562443040 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 224562443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459770992128).

224562443040 is an abundant number, since it is smaller than the sum of its proper divisors (694979541216).

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

224562443040 is a wasteful number, since it uses less digits than its factorization.

224562443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 224562443040 in words is "two hundred twenty-four billion, five hundred sixty-two million, four hundred forty-three thousand, forty".