4461599578720 has 96 divisors (see below), whose sum is σ = 10803409706880. Its totient is φ = 1740177653760.

The previous prime is 4461599578703. The next prime is 4461599578729. The reversal of 4461599578720 is 278759951644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461599578729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12105321 + ... + 12468439.

It is an arithmetic number, because the mean of its divisors is an integer number (112535517780).

Almost surely, 2^{4461599578720} is an apocalyptic number.

4461599578720 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 4461599578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401704853440).

4461599578720 is an abundant number, since it is smaller than the sum of its proper divisors (6341810128160).

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

4461599578720 is a wasteful number, since it uses less digits than its factorization.

4461599578720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365048 (or 365040 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 67.

The spelling of 4461599578720 in words is "four trillion, four hundred sixty-one billion, five hundred ninety-nine million, five hundred seventy-eight thousand, seven hundred twenty".