4516223040 has 336 divisors, whose sum is σ = 18412797312. Its totient is φ = 1032155136.

The previous prime is 4516223039. The next prime is 4516223053. The reversal of 4516223040 is 403226154.

4516223040 is a `hidden beast` number, since 4 + 5 + 1 + 622 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4516222995 and 4516223013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540172 + ... + 548468.

It is an arithmetic number, because the mean of its divisors is an integer number (54799992).

Almost surely, 2^4516223040 is an apocalyptic number.

4516223040 is a gapful number since it is divisible by the number (40) 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 4516223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206398656).

4516223040 is an abundant number, since it is smaller than the sum of its proper divisors (13896574272).

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

4516223040 is an equidigital number, since it uses as much as digits as its factorization.

4516223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8314 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4516223040 is about 67202.8499395673. The cubic root of 4516223040 is about 1652.9452190501.

Adding to 4516223040 its reverse (403226154), we get a palindrome (4919449194).

The spelling of 4516223040 in words is "four billion, five hundred sixteen million, two hundred twenty-three thousand, forty".