4113410400 has 432 divisors, whose sum is σ = 15969477888. Its totient is φ = 988032000.

The previous prime is 4113410383. The next prime is 4113410419. The reversal of 4113410400 is 40143114.

4113410400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13226245 + ... + 13226555.

It is an arithmetic number, because the mean of its divisors is an integer number (36966384).

Almost surely, 2^4113410400 is an apocalyptic number.

4113410400 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 4113410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984738944).

4113410400 is an abundant number, since it is smaller than the sum of its proper divisors (11856067488).

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

4113410400 is a wasteful number, since it uses less digits than its factorization.

4113410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4113410400 is about 64135.8745165294. The cubic root of 4113410400 is about 1602.2637747336.

Adding to 4113410400 its reverse (40143114), we get a palindrome (4153553514).

The spelling of 4113410400 in words is "four billion, one hundred thirteen million, four hundred ten thousand, four hundred".