5816410400 has 72 divisors (see below), whose sum is σ = 14290061940. Its totient is φ = 2311695360.

The previous prime is 5816410387. The next prime is 5816410417. The reversal of 5816410400 is 40146185.

It can be written as a sum of positive squares in 6 ways, for example, as 2467704976 + 3348705424 = 49676^2 + 57868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102446 + ... + 148754.

Almost surely, 2^5816410400 is an apocalyptic number.

5816410400 is a gapful number since it is divisible by the number (50) 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 5816410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145030970).

5816410400 is an abundant number, since it is smaller than the sum of its proper divisors (8473651540).

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

5816410400 is a wasteful number, since it uses less digits than its factorization.

5816410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46486 (or 46473 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 5816410400 is about 76265.3945115345. The cubic root of 5816410400 is about 1798.3947004536.

Adding to 5816410400 its reverse (40146185), we get a palindrome (5856556585).

The spelling of 5816410400 in words is "five billion, eight hundred sixteen million, four hundred ten thousand, four hundred".