4801083840 has 560 divisors, whose sum is σ = 19968740352. Its totient is φ = 1072134144.

The previous prime is 4801083821. The next prime is 4801083899. The reversal of 4801083840 is 483801084.

4801083840 is a `hidden beast` number, since 480 + 108 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 4801083795 and 4801083804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8527399 + ... + 8527961.

Almost surely, 2^4801083840 is an apocalyptic number.

4801083840 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 4801083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9984370176).

4801083840 is an abundant number, since it is smaller than the sum of its proper divisors (15167656512).

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

4801083840 is a wasteful number, since it uses less digits than its factorization.

4801083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4801083840 is about 69289.8538027033. The cubic root of 4801083840 is about 1686.9922857790.

The spelling of 4801083840 in words is "four billion, eight hundred one million, eighty-three thousand, eight hundred forty".