42421008 has 80 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 12048000.

The previous prime is 42421003. The next prime is 42421013. The reversal of 42421008 is 80012424.

It is an interprime number because it is at equal distance from previous prime (42421003) and next prime (42421013).

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

It is not an unprimeable number, because it can be changed into a prime (42421003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84085 + ... + 84587.

Almost surely, 2^42421008 is an apocalyptic number.

42421008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42421008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

42421008 is an abundant number, since it is smaller than the sum of its proper divisors (83570928).

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

42421008 is a wasteful number, since it uses less digits than its factorization.

42421008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42421008 is about 6513.1411776500. The cubic root of 42421008 is about 348.7602615138.

The spelling of 42421008 in words is "forty-two million, four hundred twenty-one thousand, eight".