42135015340201 has 27 divisors (see below), whose sum is σ = 49325417243991. Its totient is φ = 35887849157664.

The previous prime is 42135015340141. The next prime is 42135015340219. The reversal of 42135015340201 is 10204351053124.

The square root of 42135015340201 is 6491149.

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

It can be written as a sum of positive squares in only one way, i.e., 40260306700201 + 1874708640000 = 6345101^2 + 1369200^2 .

It is not a de Polignac number, because 42135015340201 - 2⁷ = 42135015340073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42135015340241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7406398165 + ... + 7406403853.

It is an arithmetic number, because the mean of its divisors is an integer number (1826867305333).

Almost surely, 2^{42135015340201} is an apocalyptic number.

42135015340201 is the 6491149-th square number.

42135015340201 is the 3245575-th centered octagonal number.

It is an amenable number.

42135015340201 is a deficient number, since it is larger than the sum of its proper divisors (7190401903790).

42135015340201 is an frugal number, since it uses more digits than its factorization.

42135015340201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11718 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 42135015340201 its reverse (10204351053124), we get a palindrome (52339366393325).

The spelling of 42135015340201 in words is "forty-two trillion, one hundred thirty-five billion, fifteen million, three hundred forty thousand, two hundred one".