10142414166051 has 128 divisors (see below), whose sum is σ = 16544290694400. Its totient is φ = 6112393297920.

The previous prime is 10142414166023. The next prime is 10142414166067. The reversal of 10142414166051 is 15066141424101.

10142414166051 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 4 + 1 + 41 + 6 + 605 + 1 = 666.

It is not a de Polignac number, because 10142414166051 - 2²⁶ = 10142347057187 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10142414165997 and 10142414166015.

It is not an unprimeable number, because it can be changed into a prime (10142414166851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2499976815 + ... + 2499980871.

It is an arithmetic number, because the mean of its divisors is an integer number (129252271050).

Almost surely, 2^{10142414166051} is an apocalyptic number.

10142414166051 is a deficient number, since it is larger than the sum of its proper divisors (6401876528349).

10142414166051 is a wasteful number, since it uses less digits than its factorization.

10142414166051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10142414166051 in words is "ten trillion, one hundred forty-two billion, four hundred fourteen million, one hundred sixty-six thousand, fifty-one".