4516400322 has 128 divisors (see below), whose sum is σ = 11719987200. Its totient is φ = 1262521728.

The previous prime is 4516400311. The next prime is 4516400327. The reversal of 4516400322 is 2230046154.

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

It is not an unprimeable number, because it can be changed into a prime (4516400327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6980203 + ... + 6980849.

It is an arithmetic number, because the mean of its divisors is an integer number (91562400).

Almost surely, 2^4516400322 is an apocalyptic number.

4516400322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4516400322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859993600).

4516400322 is an abundant number, since it is smaller than the sum of its proper divisors (7203586878).

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

4516400322 is a wasteful number, since it uses less digits than its factorization.

4516400322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

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

The square root of 4516400322 is about 67204.1689331845. The cubic root of 4516400322 is about 1652.9668472704.

Adding to 4516400322 its reverse (2230046154), we get a palindrome (6746446476).

The spelling of 4516400322 in words is "four billion, five hundred sixteen million, four hundred thousand, three hundred twenty-two".