4481658086400 has 792 divisors, whose sum is σ = 17767170087264. Its totient is φ = 1070206156800.

The previous prime is 4481658086393. The next prime is 4481658086413. The reversal of 4481658086400 is 46808561844.

It is a happy number.

4481658086400 is a `hidden beast` number, since 4 + 4 + 8 + 16 + 580 + 8 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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 71 ways as a sum of consecutive naturals, for example, 169791604 + ... + 169817996.

Almost surely, 2^{4481658086400} is an apocalyptic number.

4481658086400 is a gapful number since it is divisible by the number (40) 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 4481658086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883585043632).

4481658086400 is an abundant number, since it is smaller than the sum of its proper divisors (13285512000864).

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

4481658086400 is a wasteful number, since it uses less digits than its factorization.

4481658086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26507 (or 26481 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 4481658086400 in words is "four trillion, four hundred eighty-one billion, six hundred fifty-eight million, eighty-six thousand, four hundred".