4934142528 has 448 divisors, whose sum is σ = 16979066880. Its totient is φ = 1231718400.

The previous prime is 4934142523. The next prime is 4934142529. The reversal of 4934142528 is 8252414394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4934142528.

It is not an unprimeable number, because it can be changed into a prime (4934142523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18207033 + ... + 18207303.

Almost surely, 2^4934142528 is an apocalyptic number.

4934142528 is a gapful number since it is divisible by the number (48) 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 4934142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8489533440).

4934142528 is an abundant number, since it is smaller than the sum of its proper divisors (12044924352).

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

4934142528 is a wasteful number, since it uses less digits than its factorization.

4934142528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 4934142528 is about 70243.4518514004. The cubic root of 4934142528 is about 1702.4350948279.

The spelling of 4934142528 in words is "four billion, nine hundred thirty-four million, one hundred forty-two thousand, five hundred twenty-eight".