4842002880 has 448 divisors, whose sum is σ = 20072908800. Its totient is φ = 1083248640.

The previous prime is 4842002873. The next prime is 4842002881. The reversal of 4842002880 is 882002484.

It is a super-3 number, since 3×4842002880³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4842002881) 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, 1233561 + ... + 1237479.

It is an arithmetic number, because the mean of its divisors is an integer number (44805600).

Almost surely, 2^4842002880 is an apocalyptic number.

4842002880 is a gapful number since it is divisible by the number (40) 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 4842002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036454400).

4842002880 is an abundant number, since it is smaller than the sum of its proper divisors (15230905920).

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

4842002880 is a wasteful number, since it uses less digits than its factorization.

4842002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4842002880 is about 69584.5017227256. The cubic root of 4842002880 is about 1691.7714091870.

The spelling of 4842002880 in words is "four billion, eight hundred forty-two million, two thousand, eight hundred eighty".