4113546400 has 144 divisors (see below), whose sum is σ = 10417958208. Its totient is φ = 1584896000.

The previous prime is 4113546397. The next prime is 4113546427. The reversal of 4113546400 is 46453114.

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, 2721645 + ... + 2723155.

It is an arithmetic number, because the mean of its divisors is an integer number (72346932).

Almost surely, 2^4113546400 is an apocalyptic number.

4113546400 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 4113546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208979104).

4113546400 is an abundant number, since it is smaller than the sum of its proper divisors (6304411808).

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

4113546400 is a wasteful number, since it uses less digits than its factorization.

4113546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4113546400 is about 64136.9347568154. The cubic root of 4113546400 is about 1602.2814328689.

Adding to 4113546400 its reverse (46453114), we get a palindrome (4159999514).

The spelling of 4113546400 in words is "four billion, one hundred thirteen million, five hundred forty-six thousand, four hundred".