224990441424 has 160 divisors (see below), whose sum is σ = 738308935680. Its totient is φ = 64261641600.

The previous prime is 224990441411. The next prime is 224990441449. The reversal of 224990441424 is 424144099422.

224990441424 is a `hidden beast` number, since 224 + 9 + 9 + 0 + 4 + 414 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 224990441424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10606669 + ... + 10627859.

It is an arithmetic number, because the mean of its divisors is an integer number (4614430848).

Almost surely, 2^224990441424 is an apocalyptic number.

224990441424 is a gapful number since it is divisible by the number (24) 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 224990441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369154467840).

224990441424 is an abundant number, since it is smaller than the sum of its proper divisors (513318494256).

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

224990441424 is a wasteful number, since it uses less digits than its factorization.

224990441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24726 (or 24714 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 224990441424 in words is "two hundred twenty-four billion, nine hundred ninety million, four hundred forty-one thousand, four hundred twenty-four".