7441086504960 has 1792 divisors, whose sum is σ = 30336807398400. Its totient is φ = 1718397960192.

The previous prime is 7441086504959. The next prime is 7441086505033. The reversal of 7441086504960 is 694056801447.

7441086504960 is a `hidden beast` number, since 7 + 4 + 41 + 0 + 8 + 6 + 504 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7441086504897 and 7441086504906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13216849639 + ... + 13216850201.

Almost surely, 2^{7441086504960} 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 7441086504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168403699200).

7441086504960 is an abundant number, since it is smaller than the sum of its proper divisors (22895720893440).

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

7441086504960 is a wasteful number, since it uses less digits than its factorization.

7441086504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 7441086504960 in words is "seven trillion, four hundred forty-one billion, eighty-six million, five hundred four thousand, nine hundred sixty".