4412861026560 has 864 divisors, whose sum is σ = 18314221685760. Its totient is φ = 996460683264.

The previous prime is 4412861026549. The next prime is 4412861026571. The reversal of 4412861026560 is 656201682144.

It is a happy number.

4412861026560 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 8 + 61 + 0 + 26 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4412861026549) and next prime (4412861026571).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 180702031 + ... + 180726449.

It is an arithmetic number, because the mean of its divisors is an integer number (21197015840).

Almost surely, 2^{4412861026560} is an apocalyptic number.

4412861026560 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 4412861026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157110842880).

4412861026560 is an abundant number, since it is smaller than the sum of its proper divisors (13901360659200).

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

4412861026560 is an equidigital number, since it uses as much as digits as its factorization.

4412861026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24545 (or 24519 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4412861026560 in words is "four trillion, four hundred twelve billion, eight hundred sixty-one million, twenty-six thousand, five hundred sixty".