4835914836480 has 1440 divisors, whose sum is σ = 21380487592464. Its totient is φ = 1000912453632.

The previous prime is 4835914836451. The next prime is 4835914836497. The reversal of 4835914836480 is 846384195384.

4835914836480 is a `hidden beast` number, since 4 + 8 + 3 + 5 + 9 + 148 + 3 + 6 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2279037083904 + 2556877752576 = 1509648^2 + 1599024^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 777850332 + ... + 777856548.

Almost surely, 2^{4835914836480} is an apocalyptic number.

4835914836480 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 4835914836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690243796232).

4835914836480 is an abundant number, since it is smaller than the sum of its proper divisors (16544572755984).

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

4835914836480 is a wasteful number, since it uses less digits than its factorization.

4835914836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6326 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 4835914836480 in words is "four trillion, eight hundred thirty-five billion, nine hundred fourteen million, eight hundred thirty-six thousand, four hundred eighty".