4480257346560 has 1408 divisors, whose sum is σ = 17509219200000. Its totient is φ = 1082067517440.

The previous prime is 4480257346559. The next prime is 4480257346561. The reversal of 4480257346560 is 656437520844.

4480257346560 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 2 + 5 + 73 + 4 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4480257346559) and next prime (4480257346561).

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

It is a junction number, because it is equal to n+sod(n) for n = 4480257346497 and 4480257346506.

It is not an unprimeable number, because it can be changed into a prime (4480257346561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9978301216 + ... + 9978301664.

It is an arithmetic number, because the mean of its divisors is an integer number (12435525000).

Almost surely, 2^{4480257346560} is an apocalyptic number.

4480257346560 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 4480257346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8754609600000).

4480257346560 is an abundant number, since it is smaller than the sum of its proper divisors (13028961853440).

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

4480257346560 is a wasteful number, since it uses less digits than its factorization.

4480257346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 4480257346560 in words is "four trillion, four hundred eighty billion, two hundred fifty-seven million, three hundred forty-six thousand, five hundred sixty".