4113505400 has 96 divisors (see below), whose sum is σ = 9837964080. Its totient is φ = 1598592000.

The previous prime is 4113505399. The next prime is 4113505411. The reversal of 4113505400 is 45053114.

It is a congruent number.

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, 2270495 + ... + 2272305.

Almost surely, 2^4113505400 is an apocalyptic number.

4113505400 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 4113505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918982040).

4113505400 is an abundant number, since it is smaller than the sum of its proper divisors (5724458680).

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

4113505400 is a wasteful number, since it uses less digits than its factorization.

4113505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2136 counting only the distinct ones).

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

The square root of 4113505400 is about 64136.6151273982. The cubic root of 4113505400 is about 1602.2761095014.

Adding to 4113505400 its reverse (45053114), we get a palindrome (4158558514).

The spelling of 4113505400 in words is "four billion, one hundred thirteen million, five hundred five thousand, four hundred".