4153433296896 has 1248 divisors, whose sum is σ = 14102149824000. Its totient is φ = 1205732376576.

The previous prime is 4153433296877. The next prime is 4153433296931. The reversal of 4153433296896 is 6986923343514.

4153433296896 is a `hidden beast` number, since 4 + 1 + 53 + 433 + 2 + 9 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42818899920 + ... + 42818900016.

Almost surely, 2^{4153433296896} 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 4153433296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051074912000).

4153433296896 is an abundant number, since it is smaller than the sum of its proper divisors (9948716527104).

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

4153433296896 is a wasteful number, since it uses less digits than its factorization.

4153433296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 223 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 4153433296896 in words is "four trillion, one hundred fifty-three billion, four hundred thirty-three million, two hundred ninety-six thousand, eight hundred ninety-six".