10142400622225 has 24 divisors (see below), whose sum is σ = 12749534703000. Its totient is φ = 8002346526720.

The previous prime is 10142400622213. The next prime is 10142400622261. The reversal of 10142400622225 is 52222600424101.

It can be written as a sum of positive squares in 12 ways, for example, as 1938432460176 + 8203968162049 = 1392276^2 + 2864257^2 .

It is not a de Polignac number, because 10142400622225 - 2⁷ = 10142400622097 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, 36817197 + ... + 37091653.

It is an arithmetic number, because the mean of its divisors is an integer number (531230612625).

Almost surely, 2^{10142400622225} is an apocalyptic number.

It is an amenable number.

10142400622225 is a deficient number, since it is larger than the sum of its proper divisors (2607134080775).

10142400622225 is a wasteful number, since it uses less digits than its factorization.

10142400622225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294789 (or 294784 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 10142400622225 in words is "ten trillion, one hundred forty-two billion, four hundred million, six hundred twenty-two thousand, two hundred twenty-five".