42014400241013 has 24 divisors (see below), whose sum is σ = 43202625435720. Its totient is φ = 40857984921600.

The previous prime is 42014400240991. The next prime is 42014400241063. The reversal of 42014400241013 is 31014200441024.

It can be written as a sum of positive squares in 12 ways, for example, as 17740076338609 + 24274323902404 = 4211897^2 + 4926898^2 .

It is not a de Polignac number, because 42014400241013 - 2¹⁸ = 42014399978869 is a prime.

It is a super-2 number, since 2×42014400241013² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014400241063) 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, 993673433 + ... + 993715713.

It is an arithmetic number, because the mean of its divisors is an integer number (1800109393155).

Almost surely, 2^{42014400241013} is an apocalyptic number.

It is an amenable number.

42014400241013 is a deficient number, since it is larger than the sum of its proper divisors (1188225194707).

42014400241013 is a wasteful number, since it uses less digits than its factorization.

42014400241013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44249 (or 44208 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 42014400241013 its reverse (31014200441024), we get a palindrome (73028600682037).

The spelling of 42014400241013 in words is "forty-two trillion, fourteen billion, four hundred million, two hundred forty-one thousand, thirteen".