4170816725616 has 240 divisors, whose sum is σ = 12058425407808. Its totient is φ = 1344771072000.

The previous prime is 4170816725597. The next prime is 4170816725617. The reversal of 4170816725616 is 6165276180714.

4170816725616 is a `hidden beast` number, since 4 + 1 + 7 + 0 + 8 + 1 + 6 + 72 + 561 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4170816725617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664457070 + ... + 664463346.

Almost surely, 2^{4170816725616} 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 4170816725616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029212703904).

4170816725616 is an abundant number, since it is smaller than the sum of its proper divisors (7887608682192).

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

4170816725616 is a wasteful number, since it uses less digits than its factorization.

4170816725616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 4170816725616 in words is "four trillion, one hundred seventy billion, eight hundred sixteen million, seven hundred twenty-five thousand, six hundred sixteen".