4197131679104 has 512 divisors, whose sum is σ = 11083564800000. Its totient is φ = 1537768488960.

The previous prime is 4197131679049. The next prime is 4197131679151. The reversal of 4197131679104 is 4019761317914.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526783522 + ... + 1526786270.

It is an arithmetic number, because the mean of its divisors is an integer number (21647587500).

Almost surely, 2^{4197131679104} 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 4197131679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541782400000).

4197131679104 is an abundant number, since it is smaller than the sum of its proper divisors (6886433120896).

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

4197131679104 is a wasteful number, since it uses less digits than its factorization.

4197131679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 53.

The spelling of 4197131679104 in words is "four trillion, one hundred ninety-seven billion, one hundred thirty-one million, six hundred seventy-nine thousand, one hundred four".