5142424320 has 576 divisors, whose sum is σ = 20273863680. Its totient is φ = 1239183360.

The previous prime is 5142424297. The next prime is 5142424351. The reversal of 5142424320 is 234242415.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 30792877 + ... + 30793043.

It is an arithmetic number, because the mean of its divisors is an integer number (35197680).

Almost surely, 2^5142424320 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 5142424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136931840).

5142424320 is an abundant number, since it is smaller than the sum of its proper divisors (15131439360).

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

5142424320 is an equidigital number, since it uses as much as digits as its factorization.

5142424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5142424320 is about 71710.6987833754. The cubic root of 5142424320 is about 1726.0603235318.

Adding to 5142424320 its reverse (234242415), we get a palindrome (5376666735).

The spelling of 5142424320 in words is "five billion, one hundred forty-two million, four hundred twenty-four thousand, three hundred twenty".