42400020113001 has 12 divisors (see below), whose sum is σ = 63356351893380. Its totient is φ = 27291966969120.

The previous prime is 42400020112987. The next prime is 42400020113029. The reversal of 42400020113001 is 10031102000424.

It can be written as a sum of positive squares in 2 ways, for example, as 20436728490000 + 21963291623001 = 4520700^2 + 4686501^2 .

It is not a de Polignac number, because 42400020113001 - 2⁵ = 42400020112969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42400020113081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81226091910 + ... + 81226092431.

It is an arithmetic number, because the mean of its divisors is an integer number (5279695991115).

Almost surely, 2^{42400020113001} is an apocalyptic number.

It is an amenable number.

42400020113001 is a deficient number, since it is larger than the sum of its proper divisors (20956331780379).

42400020113001 is a wasteful number, since it uses less digits than its factorization.

42400020113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162452184376 (or 162452184373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42400020113001 its reverse (10031102000424), we get a palindrome (52431122113425).

The spelling of 42400020113001 in words is "forty-two trillion, four hundred billion, twenty million, one hundred thirteen thousand, one".