4311685722960 has 480 divisors, whose sum is σ = 18060784035840. Its totient is φ = 895552588800.

The previous prime is 4311685722943. The next prime is 4311685723003. The reversal of 4311685722960 is 692275861134.

It is a happy number.

4311685722960 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 6 + 8 + 572 + 2 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4311685722897 and 4311685722906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140746845 + ... + 140777475.

It is an arithmetic number, because the mean of its divisors is an integer number (37626633408).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4311685722960 = 8623371445920, but 3⋅4311685722960 = 12935057168880 is not.

Almost surely, 2^{4311685722960} is an apocalyptic number.

4311685722960 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 4311685722960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9030392017920).

4311685722960 is an abundant number, since it is smaller than the sum of its proper divisors (13749098312880).

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

4311685722960 is a wasteful number, since it uses less digits than its factorization.

4311685722960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33207 (or 33198 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4311685722960 in words is "four trillion, three hundred eleven billion, six hundred eighty-five million, seven hundred twenty-two thousand, nine hundred sixty".