42561120 has 192 divisors, whose sum is σ = 156764160. Its totient is φ = 9504768.

The previous prime is 42561091. The next prime is 42561131. The reversal of 42561120 is 2116524.

It is a super-2 number, since 2×42561120² = 3622897871308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177961 + ... + 178199.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^42561120 is an apocalyptic number.

42561120 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 42561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

42561120 is an abundant number, since it is smaller than the sum of its proper divisors (114203040).

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

42561120 is a wasteful number, since it uses less digits than its factorization.

42561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 42561120 is about 6523.8884110628. Note that the first 3 decimals coincide. The cubic root of 42561120 is about 349.1438120187.

Adding to 42561120 its reverse (2116524), we get a palindrome (44677644).

The spelling of 42561120 in words is "forty-two million, five hundred sixty-one thousand, one hundred twenty".