4260083310080 has 320 divisors, whose sum is σ = 11216208991680. Its totient is φ = 1542328418304.

The previous prime is 4260083310073. The next prime is 4260083310097. The reversal of 4260083310080 is 800133800624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 4260083310080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351863387 + ... + 351875493.

It is an arithmetic number, because the mean of its divisors is an integer number (35050653099).

Almost surely, 2^{4260083310080} is an apocalyptic number.

4260083310080 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 4260083310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608104495840).

4260083310080 is an abundant number, since it is smaller than the sum of its proper divisors (6956125681600).

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

4260083310080 is a wasteful number, since it uses less digits than its factorization.

4260083310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12349 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 4260083310080 in words is "four trillion, two hundred sixty billion, eighty-three million, three hundred ten thousand, eighty".