4098052288512 has 624 divisors, whose sum is σ = 14685317570560. Its totient is φ = 1072183246848.

The previous prime is 4098052288471. The next prime is 4098052288601. The reversal of 4098052288512 is 2158822508904.

4098052288512 is a `hidden beast` number, since 40 + 9 + 8 + 0 + 5 + 2 + 2 + 88 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426032439 + ... + 426042057.

Almost surely, 2^{4098052288512} is an apocalyptic number.

4098052288512 is a gapful number since it is divisible by the number (42) 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 4098052288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7342658785280).

4098052288512 is an abundant number, since it is smaller than the sum of its proper divisors (10587265282048).

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

4098052288512 is a wasteful number, since it uses less digits than its factorization.

4098052288512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 4098052288512 in words is "four trillion, ninety-eight billion, fifty-two million, two hundred eighty-eight thousand, five hundred twelve".