42575544 has 144 divisors (see below), whose sum is σ = 132164760. Its totient is φ = 12830400.

The previous prime is 42575543. The next prime is 42575551. The reversal of 42575544 is 44557524.

It is a happy number.

42575544 is a `hidden beast` number, since 42 + 5 + 75 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (112000) is a multiple of the sum of its prime factors (224).

It is a junction number, because it is equal to n+sod(n) for n = 42575499 and 42575508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42575543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235134 + ... + 235314.

Almost surely, 2^42575544 is an apocalyptic number.

42575544 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 42575544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66082380).

42575544 is an abundant number, since it is smaller than the sum of its proper divisors (89589216).

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

42575544 is a wasteful number, since it uses less digits than its factorization.

42575544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 42575544 is about 6524.9937931005. The cubic root of 42575544 is about 349.1832492762.

It can be divided in two parts, 4257 and 5544, that added together give a square (9801 = 99²).

The spelling of 42575544 in words is "forty-two million, five hundred seventy-five thousand, five hundred forty-four".