427742145035001 has 32 divisors (see below), whose sum is σ = 637772282582400. Its totient is φ = 283330888416000.

The previous prime is 427742145034979. The next prime is 427742145035011. The reversal of 427742145035001 is 100530541247724.

427742145035001 is a `hidden beast` number, since 4 + 2 + 7 + 74 + 21 + 4 + 50 + 3 + 500 + 1 = 666.

It is not a de Polignac number, because 427742145035001 - 2⁹ = 427742145034489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (427742145035011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74388036 + ... + 79931621.

It is an arithmetic number, because the mean of its divisors is an integer number (19930383830700).

Almost surely, 2^{427742145035001} is an apocalyptic number.

It is an amenable number.

427742145035001 is a deficient number, since it is larger than the sum of its proper divisors (210030137547399).

427742145035001 is a wasteful number, since it uses less digits than its factorization.

427742145035001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154320326 (or 154320320 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 427742145035001 in words is "four hundred twenty-seven trillion, seven hundred forty-two billion, one hundred forty-five million, thirty-five thousand, one".