5405241600 has 648 divisors, whose sum is σ = 22240764000. Its totient is φ = 1238630400.

The previous prime is 5405241587. The next prime is 5405241617. The reversal of 5405241600 is 61425045.

5405241600 is a `hidden beast` number, since 5 + 4 + 0 + 52 + 4 + 1 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12038176 + ... + 12038624.

Almost surely, 2^5405241600 is an apocalyptic number.

5405241600 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 5405241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11120382000).

5405241600 is an abundant number, since it is smaller than the sum of its proper divisors (16835522400).

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

5405241600 is a wasteful number, since it uses less digits than its factorization.

5405241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5405241600 is about 73520.3482037456. The cubic root of 5405241600 is about 1754.9781086709.

Adding to 5405241600 its reverse (61425045), we get a palindrome (5466666645).

The spelling of 5405241600 in words is "five billion, four hundred five million, two hundred forty-one thousand, six hundred".