2042400312001 has 4 divisors (see below), whose sum is σ = 2334171785152. Its totient is φ = 1750628838852.

The previous prime is 2042400311999. The next prime is 2042400312151. The reversal of 2042400312001 is 1002130042402.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2042400312001 - 2¹ = 2042400311999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2042400312001.

It is not an unprimeable number, because it can be changed into a prime (2042400312401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145885736565 + ... + 145885736578.

It is an arithmetic number, because the mean of its divisors is an integer number (583542946288).

Almost surely, 2^{2042400312001} is an apocalyptic number.

It is an amenable number.

2042400312001 is a deficient number, since it is larger than the sum of its proper divisors (291771473151).

2042400312001 is an equidigital number, since it uses as much as digits as its factorization.

2042400312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291771473150.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2042400312001 its reverse (1002130042402), we get a palindrome (3044530354403).

The spelling of 2042400312001 in words is "two trillion, forty-two billion, four hundred million, three hundred twelve thousand, one".