10142414120025 has 144 divisors (see below), whose sum is σ = 20865158383680. Its totient is φ = 4657720320000.

The previous prime is 10142414119991. The next prime is 10142414120087. The reversal of 10142414120025 is 52002141424101.

10142414120025 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 241 + 412 + 0 + 0 + 2 + 5 = 666.

It is not a de Polignac number, because 10142414120025 - 2¹⁴ = 10142414103641 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248318605 + ... + 248359445.

It is an arithmetic number, because the mean of its divisors is an integer number (144896933220).

Almost surely, 2^{10142414120025} is an apocalyptic number.

10142414120025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142414120025 is an abundant number, since it is smaller than the sum of its proper divisors (10722744263655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10142414120025 is a wasteful number, since it uses less digits than its factorization.

10142414120025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46168 (or 46160 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 10142414120025 its reverse (52002141424101), we get a palindrome (62144555544126).

The spelling of 10142414120025 in words is "ten trillion, one hundred forty-two billion, four hundred fourteen million, one hundred twenty thousand, twenty-five".