224458799040 has 672 divisors, whose sum is σ = 910175325696. Its totient is φ = 49710735360.

The previous prime is 224458799027. The next prime is 224458799041. The reversal of 224458799040 is 40997854422.

It is a happy number.

224458799040 is a `hidden beast` number, since 2 + 2 + 445 + 8 + 79 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224458799041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88682575 + ... + 88685105.

It is an arithmetic number, because the mean of its divisors is an integer number (1354427568).

Almost surely, 2^224458799040 is an apocalyptic number.

224458799040 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 224458799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455087662848).

224458799040 is an abundant number, since it is smaller than the sum of its proper divisors (685716526656).

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

224458799040 is a wasteful number, since it uses less digits than its factorization.

224458799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 224458799040 in words is "two hundred twenty-four billion, four hundred fifty-eight million, seven hundred ninety-nine thousand, forty".