4157868195072 has 216 divisors, whose sum is σ = 12735396273600. Its totient is φ = 1352151429120.

The previous prime is 4157868195067. The next prime is 4157868195079. The reversal of 4157868195072 is 2705918687514.

4157868195072 is a `hidden beast` number, since 4 + 1 + 57 + 8 + 68 + 19 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157868195079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735429 + ... + 3365627.

Almost surely, 2^{4157868195072} 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 4157868195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367698136800).

4157868195072 is an abundant number, since it is smaller than the sum of its proper divisors (8577528078528).

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

4157868195072 is an equidigital number, since it uses as much as digits as its factorization.

4157868195072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630271 (or 1630245 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 4157868195072 in words is "four trillion, one hundred fifty-seven billion, eight hundred sixty-eight million, one hundred ninety-five thousand, seventy-two".