4034112314401 has 16 divisors (see below), whose sum is σ = 4383579473280. Its totient is φ = 3690248728320.

The previous prime is 4034112314333. The next prime is 4034112314431. The reversal of 4034112314401 is 1044132114304.

4034112314401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4034112314401 - 2¹⁹ = 4034111790113 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 4034112314401.

It is not an unprimeable number, because it can be changed into a prime (4034112314431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9053290 + ... + 9488428.

It is an arithmetic number, because the mean of its divisors is an integer number (273973717080).

Almost surely, 2^{4034112314401} is an apocalyptic number.

It is an amenable number.

4034112314401 is a deficient number, since it is larger than the sum of its proper divisors (349467158879).

4034112314401 is a wasteful number, since it uses less digits than its factorization.

4034112314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441576.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4034112314401 its reverse (1044132114304), we get a palindrome (5078244428705).

The spelling of 4034112314401 in words is "four trillion, thirty-four billion, one hundred twelve million, three hundred fourteen thousand, four hundred one".