7413334016256 has 1728 divisors, whose sum is σ = 27881389670400. Its totient is φ = 1955476131840.

The previous prime is 7413334016239. The next prime is 7413334016261. The reversal of 7413334016256 is 6526104333147.

7413334016256 is a `hidden beast` number, since 7 + 4 + 13 + 3 + 3 + 4 + 0 + 1 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19560247875 + ... + 19560248253.

Almost surely, 2^{7413334016256} 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 7413334016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13940694835200).

7413334016256 is an abundant number, since it is smaller than the sum of its proper divisors (20468055654144).

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

7413334016256 is an equidigital number, since it uses as much as digits as its factorization.

7413334016256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 7413334016256 in words is "seven trillion, four hundred thirteen billion, three hundred thirty-four million, sixteen thousand, two hundred fifty-six".