42075001007 has 24 divisors (see below), whose sum is σ = 47063899008. Its totient is φ = 37558684800.

The previous prime is 42075000997. The next prime is 42075001027. The reversal of 42075001007 is 70010057024.

It is not a de Polignac number, because 42075001007 - 2²⁸ = 41806565551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42075001027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12472373 + ... + 12475745.

It is an arithmetic number, because the mean of its divisors is an integer number (1960995792).

Almost surely, 2^42075001007 is an apocalyptic number.

42075001007 is a deficient number, since it is larger than the sum of its proper divisors (4988898001).

42075001007 is a wasteful number, since it uses less digits than its factorization.

42075001007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The spelling of 42075001007 in words is "forty-two billion, seventy-five million, one thousand, seven".