4916814400 has 63 divisors (see below), whose sum is σ = 12105341931. Its totient is φ = 1965603840.

The previous prime is 4916814389. The next prime is 4916814407. The reversal of 4916814400 is 44186194.

The square root of 4916814400 is 70120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2324782656 + 2592031744 = 48216^2 + 50912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4916814400.

It is not an unprimeable number, because it can be changed into a prime (4916814407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2803924 + ... + 2805676.

Almost surely, 2^4916814400 is an apocalyptic number.

4916814400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4916814400 is the 70120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4916814400

4916814400 is an abundant number, since it is smaller than the sum of its proper divisors (7188527531).

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

4916814400 is an frugal number, since it uses more digits than its factorization.

4916814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The cubic root of 4916814400 is about 1700.4398400545.

The spelling of 4916814400 in words is "four billion, nine hundred sixteen million, eight hundred fourteen thousand, four hundred".