4933413035820 has 144 divisors (see below), whose sum is σ = 15132940542720. Its totient is φ = 1300824056448.

The previous prime is 4933413035779. The next prime is 4933413035857. The reversal of 4933413035820 is 285303143394.

4933413035820 is a `hidden beast` number, since 4 + 9 + 3 + 34 + 1 + 30 + 3 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12015967 + ... + 12419753.

It is an arithmetic number, because the mean of its divisors is an integer number (105089864880).

Almost surely, 2^{4933413035820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4933413035820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566470271360).

4933413035820 is an abundant number, since it is smaller than the sum of its proper divisors (10199527506900).

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

4933413035820 is a wasteful number, since it uses less digits than its factorization.

4933413035820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404564 (or 404559 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 4933413035820 in words is "four trillion, nine hundred thirty-three billion, four hundred thirteen million, thirty-five thousand, eight hundred twenty".