42450144 has 96 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 12633600.

The previous prime is 42450143. The next prime is 42450169. The reversal of 42450144 is 44105424.

It is a happy number.

42450144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42450143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64087 + ... + 64745.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^42450144 is an apocalyptic number.

42450144 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 42450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

42450144 is an abundant number, since it is smaller than the sum of its proper divisors (81291936).

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

42450144 is a wasteful number, since it uses less digits than its factorization.

42450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 42450144 is about 6515.3775024936. The cubic root of 42450144 is about 348.8400895200.

Adding to 42450144 its reverse (44105424), we get a palindrome (86555568).

The spelling of 42450144 in words is "forty-two million, four hundred fifty thousand, one hundred forty-four".