1116410400 has 432 divisors, whose sum is σ = 4767444864. Its totient is φ = 239984640.

The previous prime is 1116410377. The next prime is 1116410401. The reversal of 1116410400 is 40146111.

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

It is not an unprimeable number, because it can be changed into a prime (1116410401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856149 + ... + 857451.

It is an arithmetic number, because the mean of its divisors is an integer number (11035752).

Almost surely, 2^1116410400 is an apocalyptic number.

1116410400 is a gapful number since it is divisible by the number (10) 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 1116410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383722432).

1116410400 is an abundant number, since it is smaller than the sum of its proper divisors (3651034464).

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

1116410400 is a wasteful number, since it uses less digits than its factorization.

1116410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1116410400 is about 33412.7281136994. The cubic root of 1116410400 is about 1037.3881700726.

Adding to 1116410400 its reverse (40146111), we get a palindrome (1156556511).

The spelling of 1116410400 in words is "one billion, one hundred sixteen million, four hundred ten thousand, four hundred".