224838205440 has 480 divisors, whose sum is σ = 764388576000. Its totient is φ = 56273928192.

The previous prime is 224838205411. The next prime is 224838205451. The reversal of 224838205440 is 44502838422.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 224838205392 and 224838205401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835829626 + ... + 835829894.

It is an arithmetic number, because the mean of its divisors is an integer number (1592476200).

Almost surely, 2^224838205440 is an apocalyptic number.

224838205440 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 224838205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382194288000).

224838205440 is an abundant number, since it is smaller than the sum of its proper divisors (539550370560).

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

224838205440 is a wasteful number, since it uses less digits than its factorization.

224838205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 224838205440 in words is "two hundred twenty-four billion, eight hundred thirty-eight million, two hundred five thousand, four hundred forty".