34341142401 has 20 divisors (see below), whose sum is σ = 51674198532. Its totient is φ = 22726977408.

The previous prime is 34341142391. The next prime is 34341142439. The reversal of 34341142401 is 10424114343.

34341142401 is a `hidden beast` number, since 3 + 4 + 3 + 411 + 4 + 240 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21958794225 + 12382348176 = 148185^2 + 111276^2 .

It is not a de Polignac number, because 34341142401 - 2⁶ = 34341142337 is a prime.

It is a super-2 number, since 2×34341142401² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34341542401) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1536220 + ... + 1558413.

Almost surely, 2^34341142401 is an apocalyptic number.

It is an amenable number.

34341142401 is a deficient number, since it is larger than the sum of its proper divisors (17333056131).

34341142401 is a wasteful number, since it uses less digits than its factorization.

34341142401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094782 (or 3094773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34341142401 its reverse (10424114343), we get a palindrome (44765256744).

The spelling of 34341142401 in words is "thirty-four billion, three hundred forty-one million, one hundred forty-two thousand, four hundred one".