4481751104064 has 560 divisors, whose sum is σ = 15096181826880. Its totient is φ = 1303307366400.

The previous prime is 4481751104027. The next prime is 4481751104081. The reversal of 4481751104064 is 4604011571844.

4481751104064 is a `hidden beast` number, since 4 + 481 + 7 + 5 + 1 + 104 + 0 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 567234514 + ... + 567242414.

It is an arithmetic number, because the mean of its divisors is an integer number (26957467548).

Almost surely, 2^{4481751104064} 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 4481751104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548090913440).

4481751104064 is an abundant number, since it is smaller than the sum of its proper divisors (10614430722816).

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

4481751104064 is a wasteful number, since it uses less digits than its factorization.

4481751104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4481751104064 in words is "four trillion, four hundred eighty-one billion, seven hundred fifty-one million, one hundred four thousand, sixty-four".