10042424001 has 6 divisors (see below), whose sum is σ = 14505723570. Its totient is φ = 6694949328.

The previous prime is 10042423997. The next prime is 10042424023.

10042424001 is a `hidden beast` number, since 1 + 0 + 0 + 424 + 240 + 0 + 1 = 666.

10042424001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 10013004225 + 29419776 = 100065^2 + 5424^2 .

It is not a de Polignac number, because 10042424001 - 2² = 10042423997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042424101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557912436 + ... + 557912453.

It is an arithmetic number, because the mean of its divisors is an integer number (2417620595).

Almost surely, 2^10042424001 is an apocalyptic number.

It is an amenable number.

10042424001 is a deficient number, since it is larger than the sum of its proper divisors (4463299569).

10042424001 is a wasteful number, since it uses less digits than its factorization.

10042424001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115824895 (or 1115824892 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 10042424001 in words is "ten billion, forty-two million, four hundred twenty-four thousand, one".