4157664172000 has 96 divisors (see below), whose sum is σ = 10309101042240. Its totient is φ = 1647808012800.

The previous prime is 4157664171959. The next prime is 4157664172043. The reversal of 4157664172000 is 2714667514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4331964 + ... + 5203963.

It is an arithmetic number, because the mean of its divisors is an integer number (107386469190).

Almost surely, 2^{4157664172000} is an apocalyptic number.

4157664172000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4157664172000 is an abundant number, since it is smaller than the sum of its proper divisors (6151436870240).

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

4157664172000 is a wasteful number, since it uses less digits than its factorization.

4157664172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536061 (or 9536043 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 4157664172000 in words is "four trillion, one hundred fifty-seven billion, six hundred sixty-four million, one hundred seventy-two thousand".