4522517412480 has 192 divisors, whose sum is σ = 15638313600000. Its totient is φ = 1204344649728.

The previous prime is 4522517412467. The next prime is 4522517412499. The reversal of 4522517412480 is 842147152254.

4522517412480 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 517 + 4 + 124 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 3647521 + ... + 4727519.

It is an arithmetic number, because the mean of its divisors is an integer number (81449550000).

Almost surely, 2^{4522517412480} is an apocalyptic number.

4522517412480 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 4522517412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800000).

4522517412480 is an abundant number, since it is smaller than the sum of its proper divisors (11115796187520).

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

4522517412480 is a wasteful number, since it uses less digits than its factorization.

4522517412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080751 (or 1080736 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 4522517412480 in words is "four trillion, five hundred twenty-two billion, five hundred seventeen million, four hundred twelve thousand, four hundred eighty".