42540160 has 64 divisors (see below), whose sum is σ = 109541880. Its totient is φ = 15704064.

The previous prime is 42540139. The next prime is 42540167. The reversal of 42540160 is 6104524.

It can be written as a sum of positive squares in 4 ways, for example, as 12334144 + 30206016 = 3512^2 + 5496^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42540167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5764 + ... + 10876.

Almost surely, 2^42540160 is an apocalyptic number.

42540160 is a gapful number since it is divisible by the number (40) 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 42540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54770940).

42540160 is an abundant number, since it is smaller than the sum of its proper divisors (67001720).

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

42540160 is a wasteful number, since it uses less digits than its factorization.

42540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 42540160 is about 6522.2818093057. The cubic root of 42540160 is about 349.0864885278.

Adding to 42540160 its reverse (6104524), we get a palindrome (48644684).

The spelling of 42540160 in words is "forty-two million, five hundred forty thousand, one hundred sixty".