4142657137201 has 16 divisors (see below), whose sum is σ = 4829821888320. Its totient is φ = 3511393108480.

The previous prime is 4142657137163. The next prime is 4142657137217. The reversal of 4142657137201 is 1027317562414.

It is a cyclic number.

It is not a de Polignac number, because 4142657137201 - 2¹¹ = 4142657135153 is a prime.

It is a super-2 number, since 2×4142657137201² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4142657137001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103499836 + ... + 103539853.

It is an arithmetic number, because the mean of its divisors is an integer number (301863868020).

Almost surely, 2^{4142657137201} is an apocalyptic number.

It is an amenable number.

4142657137201 is a deficient number, since it is larger than the sum of its proper divisors (687164751119).

4142657137201 is a wasteful number, since it uses less digits than its factorization.

4142657137201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207039824.

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

The spelling of 4142657137201 in words is "four trillion, one hundred forty-two billion, six hundred fifty-seven million, one hundred thirty-seven thousand, two hundred one".