4481095941504 has 2048 divisors, whose sum is σ = 18740477952000. Its totient is φ = 1019056619520.

The previous prime is 4481095941493. The next prime is 4481095941541. The reversal of 4481095941504 is 4051495901844.

4481095941504 is a `hidden beast` number, since 4 + 4 + 8 + 1 + 0 + 95 + 9 + 41 + 504 = 666.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 3149047737 + ... + 3149049159.

It is an arithmetic number, because the mean of its divisors is an integer number (9150624000).

Almost surely, 2^{4481095941504} 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 4481095941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370238976000).

4481095941504 is an abundant number, since it is smaller than the sum of its proper divisors (14259382010496).

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

4481095941504 is a wasteful number, since it uses less digits than its factorization.

4481095941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 4481095941504 in words is "four trillion, four hundred eighty-one billion, ninety-five million, nine hundred forty-one thousand, five hundred four".