4167101657104 has 45 divisors (see below), whose sum is σ = 8229823483063. Its totient is φ = 2044026248576.

The previous prime is 4167101657101. The next prime is 4167101657119. The reversal of 4167101657104 is 4017561017614.

The square root of 4167101657104 is 2041348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2606481091600 + 1560620565504 = 1614460^2 + 1249248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4167101657101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 432760962 + ... + 432770590.

Almost surely, 2^{4167101657104} is an apocalyptic number.

4167101657104 is the 2041348-th square number.

It is an amenable number.

4167101657104 is a deficient number, since it is larger than the sum of its proper divisors (4062721825959).

4167101657104 is an frugal number, since it uses more digits than its factorization.

4167101657104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19372 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 4167101657104 in words is "four trillion, one hundred sixty-seven billion, one hundred one million, six hundred fifty-seven thousand, one hundred four".