4445564333120 has 56 divisors (see below), whose sum is σ = 10586452293144. Its totient is φ = 1778149769216.

The previous prime is 4445564333113. The next prime is 4445564333123. The reversal of 4445564333120 is 213334655444.

It can be written as a sum of positive squares in 4 ways, for example, as 153971481664 + 4291592851456 = 392392^2 + 2071616^2 .

It is not an unprimeable number, because it can be changed into a prime (4445564333123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7527632 + ... + 8096688.

It is an arithmetic number, because the mean of its divisors is an integer number (189043790949).

Almost surely, 2^{4445564333120} is an apocalyptic number.

4445564333120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4445564333120 is an abundant number, since it is smaller than the sum of its proper divisors (6140887960024).

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

4445564333120 is a wasteful number, since it uses less digits than its factorization.

4445564333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593487 (or 593477 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 44.

Adding to 4445564333120 its reverse (213334655444), we get a palindrome (4658898988564).

The spelling of 4445564333120 in words is "four trillion, four hundred forty-five billion, five hundred sixty-four million, three hundred thirty-three thousand, one hundred twenty".