2038431744001 has 4 divisors (see below), whose sum is σ = 2038449038404. Its totient is φ = 2038414449600.

The previous prime is 2038431743993. The next prime is 2038431744017. The reversal of 2038431744001 is 1004471348302.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 69405375601 + 1969026368400 = 263449^2 + 1403220^2 .

It is a cyclic number.

It is not a de Polignac number, because 2038431744001 - 2³ = 2038431743993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2038431744061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8469180 + ... + 8706541.

It is an arithmetic number, because the mean of its divisors is an integer number (509612259601).

It is a Proth number, since it is equal to 30375 ⋅ 2²⁶ + 1 and 30375 < 2²⁶.

Almost surely, 2^{2038431744001} is an apocalyptic number.

It is an amenable number.

2038431744001 is a deficient number, since it is larger than the sum of its proper divisors (17294403).

2038431744001 is a wasteful number, since it uses less digits than its factorization.

2038431744001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17294402.

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 2038431744001 in words is "two trillion, thirty-eight billion, four hundred thirty-one million, seven hundred forty-four thousand, one".