5641169400 has 192 divisors, whose sum is σ = 19526726400. Its totient is φ = 1496880000.

The previous prime is 5641169399. The next prime is 5641169423. The reversal of 5641169400 is 49611465.

5641169400 is a `hidden beast` number, since 5 + 641 + 1 + 6 + 9 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136925 + ... + 1141875.

It is an arithmetic number, because the mean of its divisors is an integer number (101701700).

Almost surely, 2^5641169400 is an apocalyptic number.

5641169400 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 5641169400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763363200).

5641169400 is an abundant number, since it is smaller than the sum of its proper divisors (13885557000).

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

5641169400 is a wasteful number, since it uses less digits than its factorization.

5641169400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5641169400 is about 75107.7186446240. The cubic root of 5641169400 is about 1780.1491058868.

The spelling of 5641169400 in words is "five billion, six hundred forty-one million, one hundred sixty-nine thousand, four hundred".