42480144 has 240 divisors, whose sum is σ = 149954688. Its totient is φ = 10948608.

The previous prime is 42480133. The next prime is 42480167. The reversal of 42480144 is 44108424.

It is a happy number.

42480144 is a `hidden beast` number, since 42 + 480 + 144 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633999 + ... + 634065.

Almost surely, 2^42480144 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 42480144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74977344).

42480144 is an abundant number, since it is smaller than the sum of its proper divisors (107474544).

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

42480144 is a wasteful number, since it uses less digits than its factorization.

42480144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 42480144 is about 6517.6793416062. The cubic root of 42480144 is about 348.9222465900.

Adding to 42480144 its reverse (44108424), we get a palindrome (86588568).

It can be divided in two parts, 42480 and 144, that added together give a palindrome (42624).

The spelling of 42480144 in words is "forty-two million, four hundred eighty thousand, one hundred forty-four".