5406413824 has 264 divisors, whose sum is σ = 13609438560. Its totient is φ = 2133540864.

The previous prime is 5406413821. The next prime is 5406413839. The reversal of 5406413824 is 4283146045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5406413821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50527179 + ... + 50527285.

Almost surely, 2^5406413824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804719280).

5406413824 is an abundant number, since it is smaller than the sum of its proper divisors (8203024736).

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

5406413824 is a wasteful number, since it uses less digits than its factorization.

5406413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 5406413824 is about 73528.3198774459. The cubic root of 5406413824 is about 1755.1049657054.

Adding to 5406413824 its reverse (4283146045), we get a palindrome (9689559869).

The spelling of 5406413824 in words is "five billion, four hundred six million, four hundred thirteen thousand, eight hundred twenty-four".