10305314466240 has 448 divisors, whose sum is σ = 34027594997760. Its totient is φ = 2640731258880.

The previous prime is 10305314466133. The next prime is 10305314466253. The reversal of 10305314466240 is 4266441350301.

10305314466240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645162894 + ... + 645178866.

It is an arithmetic number, because the mean of its divisors is an integer number (75954453120).

Almost surely, 2^{10305314466240} is an apocalyptic number.

10305314466240 is a gapful number since it is divisible by the number (10) 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 10305314466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013797498880).

10305314466240 is an abundant number, since it is smaller than the sum of its proper divisors (23722280531520).

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

10305314466240 is a wasteful number, since it uses less digits than its factorization.

10305314466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16300 (or 16290 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 10305314466240 in words is "ten trillion, three hundred five billion, three hundred fourteen million, four hundred sixty-six thousand, two hundred forty".