5400441200 has 240 divisors, whose sum is σ = 16423782144. Its totient is φ = 1657497600.

The previous prime is 5400441143. The next prime is 5400441209. The reversal of 5400441200 is 21440045.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5400441209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2062292 + ... + 2064908.

Almost surely, 2^5400441200 is an apocalyptic number.

5400441200 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 5400441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211891072).

5400441200 is an abundant number, since it is smaller than the sum of its proper divisors (11023340944).

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

5400441200 is a wasteful number, since it uses less digits than its factorization.

5400441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 5400441200 is about 73487.6942079421. The cubic root of 5400441200 is about 1754.4584222423.

Adding to 5400441200 its reverse (21440045), we get a palindrome (5421881245).

The spelling of 5400441200 in words is "five billion, four hundred million, four hundred forty-one thousand, two hundred".