4306561280000 has 960 divisors, whose sum is σ = 13281975907200. Its totient is φ = 1362493440000.

The previous prime is 4306561279997. The next prime is 4306561280029. The reversal of 4306561280000 is 821656034.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 79 ways as a sum of consecutive naturals, for example, 6979839692 + ... + 6979840308.

It is an arithmetic number, because the mean of its divisors is an integer number (13835391570).

Almost surely, 2^{4306561280000} is an apocalyptic number.

4306561280000 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 4306561280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640987953600).

4306561280000 is an abundant number, since it is smaller than the sum of its proper divisors (8975414627200).

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

4306561280000 is an equidigital number, since it uses as much as digits as its factorization.

4306561280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 4306561280000 in words is "four trillion, three hundred six billion, five hundred sixty-one million, two hundred eighty thousand".