4808343435840 has 1680 divisors, whose sum is σ = 20983587850368. Its totient is φ = 1023536922624.

The previous prime is 4808343435817. The next prime is 4808343435859. The reversal of 4808343435840 is 485343438084.

4808343435840 is a `hidden beast` number, since 4 + 80 + 83 + 434 + 3 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×4808343435840³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5610668692 + ... + 5610669548.

Almost surely, 2^{4808343435840} is an apocalyptic number.

4808343435840 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 4808343435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10491793925184).

4808343435840 is an abundant number, since it is smaller than the sum of its proper divisors (16175244414528).

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

4808343435840 is a wasteful number, since it uses less digits than its factorization.

4808343435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 4808343435840 in words is "four trillion, eight hundred eight billion, three hundred forty-three million, four hundred thirty-five thousand, eight hundred forty".