34001420413341 has 32 divisors (see below), whose sum is σ = 48408331023360. Its totient is φ = 21177017414784.

The previous prime is 34001420413273. The next prime is 34001420413357. The reversal of 34001420413341 is 14331402410043.

It is not a de Polignac number, because 34001420413341 - 2⁴³ = 25205327391133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34001420413299 and 34001420413308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001420413381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82214025 + ... + 82626561.

It is an arithmetic number, because the mean of its divisors is an integer number (1512760344480).

Almost surely, 2^{34001420413341} is an apocalyptic number.

It is an amenable number.

34001420413341 is a deficient number, since it is larger than the sum of its proper divisors (14406910610019).

34001420413341 is a wasteful number, since it uses less digits than its factorization.

34001420413341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440385.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34001420413341 its reverse (14331402410043), we get a palindrome (48332822823384).

The spelling of 34001420413341 in words is "thirty-four trillion, one billion, four hundred twenty million, four hundred thirteen thousand, three hundred forty-one".