4820259840 has 352 divisors, whose sum is σ = 17205018624. Its totient is φ = 1141800960.

The previous prime is 4820259811. The next prime is 4820259877. The reversal of 4820259840 is 489520284.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 4820259792 and 4820259801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7940817 + ... + 7941423.

Almost surely, 2^4820259840 is an apocalyptic number.

4820259840 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 4820259840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602509312).

4820259840 is an abundant number, since it is smaller than the sum of its proper divisors (12384758784).

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

4820259840 is a wasteful number, since it uses less digits than its factorization.

4820259840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4820259840 is about 69428.0911447233. The cubic root of 4820259840 is about 1689.2353063890.

The spelling of 4820259840 in words is "four billion, eight hundred twenty million, two hundred fifty-nine thousand, eight hundred forty".