10434380915125 has 16 divisors (see below), whose sum is σ = 13025744385264. Its totient is φ = 8345173320000.

The previous prime is 10434380915117. The next prime is 10434380915159. The reversal of 10434380915125 is 52151908343401.

It can be written as a sum of positive squares in 8 ways, for example, as 4360650239089 + 6073730676036 = 2088217^2 + 2464494^2 .

It is not a de Polignac number, because 10434380915125 - 2³ = 10434380915117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11207646 + ... + 12102895.

It is an arithmetic number, because the mean of its divisors is an integer number (814109024079).

Almost surely, 2^{10434380915125} is an apocalyptic number.

It is an amenable number.

10434380915125 is a deficient number, since it is larger than the sum of its proper divisors (2591363470139).

10434380915125 is an equidigital number, since it uses as much as digits as its factorization.

10434380915125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23314137 (or 23314127 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 10434380915125 in words is "ten trillion, four hundred thirty-four billion, three hundred eighty million, nine hundred fifteen thousand, one hundred twenty-five".