42005125435 has 64 divisors (see below), whose sum is σ = 63378008064. Its totient is φ = 26019302400.

The previous prime is 42005125411. The next prime is 42005125517. The reversal of 42005125435 is 53452150024.

It is not a de Polignac number, because 42005125435 - 2²⁹ = 41468254523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42005125397 and 42005125406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4421040 + ... + 4430530.

It is an arithmetic number, because the mean of its divisors is an integer number (990281376).

Almost surely, 2^42005125435 is an apocalyptic number.

42005125435 is a deficient number, since it is larger than the sum of its proper divisors (21372882629).

42005125435 is a wasteful number, since it uses less digits than its factorization.

42005125435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724.

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 42005125435 its reverse (53452150024), we get a palindrome (95457275459).

The spelling of 42005125435 in words is "forty-two billion, five million, one hundred twenty-five thousand, four hundred thirty-five".