42090938001 has 48 divisors (see below), whose sum is σ = 70228304640. Its totient is φ = 23794928640.

The previous prime is 42090937991. The next prime is 42090938047. The reversal of 42090938001 is 10083909024.

42090938001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42090938001 - 2¹⁴ = 42090921617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42090988001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4045516 + ... + 4055906.

It is an arithmetic number, because the mean of its divisors is an integer number (1463089680).

Almost surely, 2^42090938001 is an apocalyptic number.

It is an amenable number.

42090938001 is a deficient number, since it is larger than the sum of its proper divisors (28137366639).

42090938001 is a wasteful number, since it uses less digits than its factorization.

42090938001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11086 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 42090938001 in words is "forty-two billion, ninety million, nine hundred thirty-eight thousand, one".