4919920224 has 144 divisors (see below), whose sum is σ = 14134330224. Its totient is φ = 1493237760.

The previous prime is 4919920171. The next prime is 4919920277. The reversal of 4919920224 is 4220299194.

It is an interprime number because it is at equal distance from previous prime (4919920171) and next prime (4919920277).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566784 + ... + 1569920.

It is an arithmetic number, because the mean of its divisors is an integer number (98155071).

Almost surely, 2^4919920224 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 4919920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067165112).

4919920224 is an abundant number, since it is smaller than the sum of its proper divisors (9214410000).

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

4919920224 is a wasteful number, since it uses less digits than its factorization.

4919920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4919920224 is about 70142.1429954917. The cubic root of 4919920224 is about 1700.7978059252.

The spelling of 4919920224 in words is "four billion, nine hundred nineteen million, nine hundred twenty thousand, two hundred twenty-four".