10206440346225 has 24 divisors (see below), whose sum is σ = 16874822620800. Its totient is φ = 5443378534720.

The previous prime is 10206440346191. The next prime is 10206440346313. The reversal of 10206440346225 is 52264304460201.

It is a happy number.

It is not a de Polignac number, because 10206440346225 - 2⁶ = 10206440346161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7178167 + ... + 8481683.

It is an arithmetic number, because the mean of its divisors is an integer number (703117609200).

Almost surely, 2^{10206440346225} is an apocalyptic number.

10206440346225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10206440346225 is a deficient number, since it is larger than the sum of its proper divisors (6668382274575).

10206440346225 is a wasteful number, since it uses less digits than its factorization.

10206440346225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407929 (or 1407924 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 10206440346225 in words is "ten trillion, two hundred six billion, four hundred forty million, three hundred forty-six thousand, two hundred twenty-five".