42126420 has 96 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 9120384.

The previous prime is 42126389. The next prime is 42126443. The reversal of 42126420 is 2462124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5341 + ... + 10619.

It is an arithmetic number, because the mean of its divisors is an integer number (1478400).

Almost surely, 2^42126420 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 42126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

42126420 is an abundant number, since it is smaller than the sum of its proper divisors (99799980).

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

42126420 is a wasteful number, since it uses less digits than its factorization.

42126420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42126420 is about 6490.4868846644. The cubic root of 42126420 is about 347.9510764888.

Adding to 42126420 its reverse (2462124), we get a palindrome (44588544).

The spelling of 42126420 in words is "forty-two million, one hundred twenty-six thousand, four hundred twenty".