224600801040 has 960 divisors, whose sum is σ = 972129779712. Its totient is φ = 45113241600.

The previous prime is 224600801023. The next prime is 224600801041. The reversal of 224600801040 is 40108006422.

224600801040 is a `hidden beast` number, since 2 + 2 + 4 + 600 + 8 + 0 + 10 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 224600800995 and 224600801013.

It is not an unprimeable number, because it can be changed into a prime (224600801041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 457435195 + ... + 457435685.

Almost surely, 2^224600801040 is an apocalyptic number.

224600801040 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 224600801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486064889856).

224600801040 is an abundant number, since it is smaller than the sum of its proper divisors (747528978672).

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

224600801040 is a wasteful number, since it uses less digits than its factorization.

224600801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 224600801040 its reverse (40108006422), we get a palindrome (264708807462).

The spelling of 224600801040 in words is "two hundred twenty-four billion, six hundred million, eight hundred one thousand, forty".