10434414334141 has 24 divisors (see below), whose sum is σ = 12309705535680. Its totient is φ = 8817273561600.

The previous prime is 10434414334121. The next prime is 10434414334147. The reversal of 10434414334141 is 14143341443401.

It is not a de Polignac number, because 10434414334141 - 2¹⁵ = 10434414301373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10434414334141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434414334147) 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, 62744221 + ... + 62910301.

It is an arithmetic number, because the mean of its divisors is an integer number (512904397320).

Almost surely, 2^{10434414334141} is an apocalyptic number.

It is an amenable number.

10434414334141 is a deficient number, since it is larger than the sum of its proper divisors (1875291201539).

10434414334141 is a wasteful number, since it uses less digits than its factorization.

10434414334141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184225 (or 184218 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 10434414334141 its reverse (14143341443401), we get a palindrome (24577755777542).

The spelling of 10434414334141 in words is "ten trillion, four hundred thirty-four billion, four hundred fourteen million, three hundred thirty-four thousand, one hundred forty-one".