5641182400 has 336 divisors, whose sum is σ = 16871777280. Its totient is φ = 1814630400.

The previous prime is 5641182373. The next prime is 5641182413. The reversal of 5641182400 is 42811465.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15713421 + ... + 15713779.

Almost surely, 2^5641182400 is an apocalyptic number.

5641182400 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 5641182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8435888640).

5641182400 is an abundant number, since it is smaller than the sum of its proper divisors (11230594880).

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

5641182400 is a wasteful number, since it uses less digits than its factorization.

5641182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 5641182400 is about 75107.8051869445. The cubic root of 5641182400 is about 1780.1504733290.

Adding to 5641182400 its reverse (42811465), we get a palindrome (5683993865).

The spelling of 5641182400 in words is "five billion, six hundred forty-one million, one hundred eighty-two thousand, four hundred".