5301424128 has 416 divisors, whose sum is σ = 19023040512. Its totient is φ = 1268121600.

The previous prime is 5301424127. The next prime is 5301424153. The reversal of 5301424128 is 8214241035.

It is a tau number, because it is divible by the number of its divisors (416).

It is a junction number, because it is equal to n+sod(n) for n = 5301424095 and 5301424104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301424127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12300073 + ... + 12300503.

Almost surely, 2^5301424128 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 5301424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9511520256).

5301424128 is an abundant number, since it is smaller than the sum of its proper divisors (13721616384).

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

5301424128 is a wasteful number, since it uses less digits than its factorization.

5301424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5301424128 is about 72810.8791871105. The cubic root of 5301424128 is about 1743.6695499375.

The spelling of 5301424128 in words is "five billion, three hundred one million, four hundred twenty-four thousand, one hundred twenty-eight".