5408116224 has 320 divisors, whose sum is σ = 18101698560. Its totient is φ = 1398988800.

The previous prime is 5408116199. The next prime is 5408116261. The reversal of 5408116224 is 4226118045.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4698049 + ... + 4699199.

It is an arithmetic number, because the mean of its divisors is an integer number (56567808).

Almost surely, 2^5408116224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050849280).

5408116224 is an abundant number, since it is smaller than the sum of its proper divisors (12693582336).

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

5408116224 is a wasteful number, since it uses less digits than its factorization.

5408116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 5408116224 is about 73539.8954581797. The cubic root of 5408116224 is about 1755.2891652649.

The spelling of 5408116224 in words is "five billion, four hundred eight million, one hundred sixteen thousand, two hundred twenty-four".