4535110400 has 216 divisors, whose sum is σ = 12069321264. Its totient is φ = 1680998400.

The previous prime is 4535110397. The next prime is 4535110421. The reversal of 4535110400 is 40115354.

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, 7942115 + ... + 7942685.

Almost surely, 2^4535110400 is an apocalyptic number.

4535110400 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 4535110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034660632).

4535110400 is an abundant number, since it is smaller than the sum of its proper divisors (7534210864).

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

4535110400 is a wasteful number, since it uses less digits than its factorization.

4535110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 4535110400 is about 67343.2283158448. The cubic root of 4535110400 is about 1655.2462827505.

Adding to 4535110400 its reverse (40115354), we get a palindrome (4575225754).

The spelling of 4535110400 in words is "four billion, five hundred thirty-five million, one hundred ten thousand, four hundred".