42007431 has 12 divisors (see below), whose sum is σ = 57350328. Its totient is φ = 27350064.

The previous prime is 42007397. The next prime is 42007463. The reversal of 42007431 is 13470024.

42007431 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 42007431 - 2²⁵ = 8452999 is a prime.

It is a super-2 number, since 2×42007431² = 3529248518439522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42007398 and 42007407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42007831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1761 + ... + 9333.

It is an arithmetic number, because the mean of its divisors is an integer number (4779194).

Almost surely, 2^42007431 is an apocalyptic number.

42007431 is a deficient number, since it is larger than the sum of its proper divisors (15342897).

42007431 is an equidigital number, since it uses as much as digits as its factorization.

42007431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42007431 is about 6481.3139871480. The cubic root of 42007431 is about 347.6231635607.

Adding to 42007431 its reverse (13470024), we get a palindrome (55477455).

The spelling of 42007431 in words is "forty-two million, seven thousand, four hundred thirty-one".