4920352416 has 144 divisors (see below), whose sum is σ = 16015708800. Its totient is φ = 1403656704.

The previous prime is 4920352399. The next prime is 4920352417. The reversal of 4920352416 is 6142530294.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4920352417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689970 + ... + 1692878.

It is an arithmetic number, because the mean of its divisors is an integer number (111220200).

Almost surely, 2^4920352416 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 4920352416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007854400).

4920352416 is an abundant number, since it is smaller than the sum of its proper divisors (11095356384).

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

4920352416 is a wasteful number, since it uses less digits than its factorization.

4920352416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4920352416 is about 70145.2237575731. The cubic root of 4920352416 is about 1700.8476068467.

The spelling of 4920352416 in words is "four billion, nine hundred twenty million, three hundred fifty-two thousand, four hundred sixteen".