4161241310616 has 384 divisors, whose sum is σ = 12730790217600. Its totient is φ = 1219492454400.

The previous prime is 4161241310599. The next prime is 4161241310617. The reversal of 4161241310616 is 6160131421614.

4161241310616 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 2 + 4 + 1 + 31 + 0 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161241310617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311300365 + ... + 311313731.

It is an arithmetic number, because the mean of its divisors is an integer number (33153099525).

Almost surely, 2^{4161241310616} 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 4161241310616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365395108800).

4161241310616 is an abundant number, since it is smaller than the sum of its proper divisors (8569548906984).

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

4161241310616 is a wasteful number, since it uses less digits than its factorization.

4161241310616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619 (or 13612 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 4161241310616 in words is "four trillion, one hundred sixty-one billion, two hundred forty-one million, three hundred ten thousand, six hundred sixteen".