4935322025712 has 1920 divisors, whose sum is σ = 17855104700160. Its totient is φ = 1304277811200.

The previous prime is 4935322025651. The next prime is 4935322025719. The reversal of 4935322025712 is 2175202235394.

4935322025712 is a `hidden beast` number, since 4 + 9 + 3 + 53 + 2 + 20 + 2 + 571 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935322025719) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 48864574462 + ... + 48864574562.

It is an arithmetic number, because the mean of its divisors is an integer number (9299533698).

Almost surely, 2^{4935322025712} 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 4935322025712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927552350080).

4935322025712 is an abundant number, since it is smaller than the sum of its proper divisors (12919782674448).

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

4935322025712 is a wasteful number, since it uses less digits than its factorization.

4935322025712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 4935322025712 in words is "four trillion, nine hundred thirty-five billion, three hundred twenty-two million, twenty-five thousand, seven hundred twelve".