42013011352401 has 24 divisors (see below), whose sum is σ = 62350061856264. Its totient is φ = 27244451082240.

The previous prime is 42013011352399. The next prime is 42013011352441. The reversal of 42013011352401 is 10425311031024.

42013011352401 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 301 + 1 + 352 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1318512510225 + 40694498842176 = 1148265^2 + 6379224^2 .

It is not a de Polignac number, because 42013011352401 - 2¹ = 42013011352399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42013011352441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168802056 + ... + 169050761.

It is an arithmetic number, because the mean of its divisors is an integer number (2597919244011).

Almost surely, 2^{42013011352401} is an apocalyptic number.

42013011352401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42013011352401 is a deficient number, since it is larger than the sum of its proper divisors (20337050503863).

42013011352401 is a wasteful number, since it uses less digits than its factorization.

42013011352401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337853201 (or 337853198 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 42013011352401 its reverse (10425311031024), we get a palindrome (52438322383425).

The spelling of 42013011352401 in words is "forty-two trillion, thirteen billion, eleven million, three hundred fifty-two thousand, four hundred one".