42417144 has 144 divisors (see below), whose sum is σ = 145917720. Its totient is φ = 11007360.

The previous prime is 42417107. The next prime is 42417157. The reversal of 42417144 is 44171424.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38262 + ... + 39354.

Almost surely, 2^42417144 is an apocalyptic number.

42417144 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 42417144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72958860).

42417144 is an abundant number, since it is smaller than the sum of its proper divisors (103500576).

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

42417144 is a wasteful number, since it uses less digits than its factorization.

42417144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1116 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 42417144 is about 6512.8445398305. The cubic root of 42417144 is about 348.7496720234.

Adding to 42417144 its reverse (44171424), we get a palindrome (86588568).

The spelling of 42417144 in words is "forty-two million, four hundred seventeen thousand, one hundred forty-four".