4830142464 has 336 divisors, whose sum is σ = 16356787200. Its totient is φ = 1372815360.

The previous prime is 4830142453. The next prime is 4830142469. The reversal of 4830142464 is 4642410384.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4830142469) 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, 25288609 + ... + 25288799.

Almost surely, 2^4830142464 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 4830142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178393600).

4830142464 is an abundant number, since it is smaller than the sum of its proper divisors (11526644736).

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

4830142464 is an equidigital number, since it uses as much as digits as its factorization.

4830142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4830142464 is about 69499.2263554063. The cubic root of 4830142464 is about 1690.3889566092.

The spelling of 4830142464 in words is "four billion, eight hundred thirty million, one hundred forty-two thousand, four hundred sixty-four".