42413184 has 96 divisors (see below), whose sum is σ = 133183440. Its totient is φ = 12848640.

The previous prime is 42413159. The next prime is 42413191. The reversal of 42413184 is 48131424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10999 + ... + 14345.

Almost surely, 2^42413184 is an apocalyptic number.

42413184 is a gapful number since it is divisible by the number (44) 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 42413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66591720).

42413184 is an abundant number, since it is smaller than the sum of its proper divisors (90770256).

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

42413184 is a wasteful number, since it uses less digits than its factorization.

42413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3363 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 42413184 is about 6512.5405181081. The cubic root of 42413184 is about 348.7388187728.

The spelling of 42413184 in words is "forty-two million, four hundred thirteen thousand, one hundred eighty-four".