34003441424121 has 48 divisors (see below), whose sum is σ = 52312687346304. Its totient is φ = 19568858729472.

The previous prime is 34003441424119. The next prime is 34003441424153. The reversal of 34003441424121 is 12142414430043.

It is a happy number.

It is not a de Polignac number, because 34003441424121 - 2¹ = 34003441424119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34003441424101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11211061 + ... + 13917426.

It is an arithmetic number, because the mean of its divisors is an integer number (1089847653048).

Almost surely, 2^{34003441424121} is an apocalyptic number.

It is an amenable number.

34003441424121 is a deficient number, since it is larger than the sum of its proper divisors (18309245922183).

34003441424121 is a wasteful number, since it uses less digits than its factorization.

34003441424121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25128690 (or 25128677 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 34003441424121 its reverse (12142414430043), we get a palindrome (46145855854164).

The spelling of 34003441424121 in words is "thirty-four trillion, three billion, four hundred forty-one million, four hundred twenty-four thousand, one hundred twenty-one".