42126496 has 48 divisors (see below), whose sum is σ = 87998400. Its totient is φ = 19795968.

The previous prime is 42126481. The next prime is 42126499. The reversal of 42126496 is 69462124.

It is not an unprimeable number, because it can be changed into a prime (42126499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117165 + ... + 117523.

It is an arithmetic number, because the mean of its divisors is an integer number (1833300).

Almost surely, 2^42126496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42126496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999200).

42126496 is an abundant number, since it is smaller than the sum of its proper divisors (45871904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42126496 is a wasteful number, since it uses less digits than its factorization.

42126496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 573 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 42126496 is about 6490.4927393843. The cubic root of 42126496 is about 347.9512857341.

The spelling of 42126496 in words is "forty-two million, one hundred twenty-six thousand, four hundred ninety-six".