4833453040416 has 1296 divisors, whose sum is σ = 19751856651072. Its totient is φ = 1108367124480.

The previous prime is 4833453040379. The next prime is 4833453040541. The reversal of 4833453040416 is 6140403543384.

4833453040416 is a `hidden beast` number, since 4 + 8 + 3 + 34 + 530 + 40 + 41 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 510553315 + ... + 510562781.

It is an arithmetic number, because the mean of its divisors is an integer number (15240630132).

Almost surely, 2^{4833453040416} is an apocalyptic number.

4833453040416 is a gapful number since it is divisible by the number (46) 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 4833453040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9875928325536).

4833453040416 is an abundant number, since it is smaller than the sum of its proper divisors (14918403610656).

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

4833453040416 is a wasteful number, since it uses less digits than its factorization.

4833453040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9555 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 4833453040416 in words is "four trillion, eight hundred thirty-three billion, four hundred fifty-three million, forty thousand, four hundred sixteen".