34014041011401 has 16 divisors (see below), whose sum is σ = 49477671548928. Its totient is φ = 20613444141200.

The previous prime is 34014041011343. The next prime is 34014041011427. The reversal of 34014041011401 is 10411014041043.

It is a cyclic number.

It is not a de Polignac number, because 34014041011401 - 2¹⁴ = 34014040995017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34014041011441) 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, 27540801 + ... + 28749326.

It is an arithmetic number, because the mean of its divisors is an integer number (3092354471808).

Almost surely, 2^{34014041011401} is an apocalyptic number.

It is an amenable number.

34014041011401 is a deficient number, since it is larger than the sum of its proper divisors (15463630537527).

34014041011401 is a wasteful number, since it uses less digits than its factorization.

34014041011401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56308452.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 34014041011401 its reverse (10411014041043), we get a palindrome (44425055052444).

The spelling of 34014041011401 in words is "thirty-four trillion, fourteen billion, forty-one million, eleven thousand, four hundred one".