4481302393152 has 504 divisors, whose sum is σ = 14316415095840. Its totient is φ = 1338631557120.

The previous prime is 4481302393121. The next prime is 4481302393177. The reversal of 4481302393152 is 2513932031844.

It is a happy number.

4481302393152 is a `hidden beast` number, since 4 + 4 + 81 + 30 + 2 + 393 + 152 = 666.

It is a super-3 number, since 3×4481302393152³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4481302393098 and 4481302393107.

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 71 ways as a sum of consecutive naturals, for example, 2056585599 + ... + 2056587777.

Almost surely, 2^{4481302393152} 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 4481302393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158207547920).

4481302393152 is an abundant number, since it is smaller than the sum of its proper divisors (9835112702688).

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

4481302393152 is a wasteful number, since it uses less digits than its factorization.

4481302393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4481302393152 in words is "four trillion, four hundred eighty-one billion, three hundred two million, three hundred ninety-three thousand, one hundred fifty-two".