34004004414141 has 32 divisors (see below), whose sum is σ = 48484561910400. Its totient is φ = 21123308666880.

The previous prime is 34004004414109. The next prime is 34004004414143. The reversal of 34004004414141 is 14141440040043.

It is not a de Polignac number, because 34004004414141 - 2⁵ = 34004004414109 is a prime.

It is a super-2 number, since 2×34004004414141² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34004004414099 and 34004004414108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004004414143) 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, 4569501 + ... + 9428061.

It is an arithmetic number, because the mean of its divisors is an integer number (1515142559700).

Almost surely, 2^{34004004414141} is an apocalyptic number.

It is an amenable number.

34004004414141 is a deficient number, since it is larger than the sum of its proper divisors (14480557496259).

34004004414141 is a wasteful number, since it uses less digits than its factorization.

34004004414141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859949.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 34004004414141 its reverse (14141440040043), we get a palindrome (48145444454184).

The spelling of 34004004414141 in words is "thirty-four trillion, four billion, four million, four hundred fourteen thousand, one hundred forty-one".