34404414302141 has 24 divisors (see below), whose sum is σ = 38618945649504. Its totient is φ = 30610816816320.

The previous prime is 34404414302099. The next prime is 34404414302189. The reversal of 34404414302141 is 14120341440443.

It is not a de Polignac number, because 34404414302141 - 2⁶ = 34404414302077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34404414302941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25041515 + ... + 26379656.

It is an arithmetic number, because the mean of its divisors is an integer number (1609122735396).

Almost surely, 2^{34404414302141} is an apocalyptic number.

It is an amenable number.

34404414302141 is a deficient number, since it is larger than the sum of its proper divisors (4214531347363).

34404414302141 is a wasteful number, since it uses less digits than its factorization.

34404414302141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51421341 (or 51421328 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 34404414302141 its reverse (14120341440443), we get a palindrome (48524755742584).

The spelling of 34404414302141 in words is "thirty-four trillion, four hundred four billion, four hundred fourteen million, three hundred two thousand, one hundred forty-one".