4141347917616 has 640 divisors, whose sum is σ = 14920322816000. Its totient is φ = 1077135501312.

The previous prime is 4141347917611. The next prime is 4141347917621. The reversal of 4141347917616 is 6167197431414.

4141347917616 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 3 + 4 + 7 + 9 + 17 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (4141347917611) and next prime (4141347917621).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4141347917611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 484987875 + ... + 484996413.

It is an arithmetic number, because the mean of its divisors is an integer number (23313004400).

Almost surely, 2^{4141347917616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141347917616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460161408000).

4141347917616 is an abundant number, since it is smaller than the sum of its proper divisors (10778974898384).

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

4141347917616 is a wasteful number, since it uses less digits than its factorization.

4141347917616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8637 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 4141347917616 in words is "four trillion, one hundred forty-one billion, three hundred forty-seven million, nine hundred seventeen thousand, six hundred sixteen".