4116347341560 has 192 divisors, whose sum is σ = 13612305096000. Its totient is φ = 1078517514240.

The previous prime is 4116347341559. The next prime is 4116347341567. The reversal of 4116347341560 is 651437436114.

4116347341560 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 3 + 47 + 3 + 41 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116347341567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20079256 + ... + 20283224.

It is an arithmetic number, because the mean of its divisors is an integer number (70897422375).

Almost surely, 2^{4116347341560} is an apocalyptic number.

4116347341560 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 4116347341560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6806152548000).

4116347341560 is an abundant number, since it is smaller than the sum of its proper divisors (9495957754440).

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

4116347341560 is a wasteful number, since it uses less digits than its factorization.

4116347341560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204966 (or 204959 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 4116347341560 in words is "four trillion, one hundred sixteen billion, three hundred forty-seven million, three hundred forty-one thousand, five hundred sixty".