224913041920 has 240 divisors, whose sum is σ = 628282365480. Its totient is φ = 76993265664.

The previous prime is 224913041893. The next prime is 224913042007. The reversal of 224913041920 is 29140319422.

It can be written as a sum of positive squares in 4 ways, for example, as 161578273024 + 63334768896 = 401968^2 + 251664^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224913041920.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 126568072 + ... + 126569848.

Almost surely, 2^224913041920 is an apocalyptic number.

224913041920 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 224913041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314141182740).

224913041920 is an abundant number, since it is smaller than the sum of its proper divisors (403369323560).

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

224913041920 is a wasteful number, since it uses less digits than its factorization.

224913041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 224913041920 in words is "two hundred twenty-four billion, nine hundred thirteen million, forty-one thousand, nine hundred twenty".