42406144 has 81 divisors (see below), whose sum is σ = 95623941. Its totient is φ = 18754560.

The previous prime is 42406129. The next prime is 42406193. The reversal of 42406144 is 44160424.

The square root of 42406144 is 6512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37945600 + 4460544 = 6160^2 + 2112^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1146094 + ... + 1146130.

Almost surely, 2^42406144 is an apocalyptic number.

42406144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42406144 is the 6512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406144

42406144 is an abundant number, since it is smaller than the sum of its proper divisors (53217797).

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

42406144 is an equidigital number, since it uses as much as digits as its factorization.

42406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The cubic root of 42406144 is about 348.7195224369.

Multiplying 42406144 by its sum of digits (25), we get a square (1060153600 = 32560²).

Adding to 42406144 its reverse (44160424), we get a palindrome (86566568).

The spelling of 42406144 in words is "forty-two million, four hundred six thousand, one hundred forty-four".