42461440 has 108 divisors (see below), whose sum is σ = 118488636. Its totient is φ = 14536704.

The previous prime is 42461437. The next prime is 42461449. The reversal of 42461440 is 4416424.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 9834496 = 5712^2 + 3136^2 .

It is not an unprimeable number, because it can be changed into a prime (42461449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62382 + ... + 63058.

It is an arithmetic number, because the mean of its divisors is an integer number (1097117).

Almost surely, 2^42461440 is an apocalyptic number.

42461440 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 42461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59244318).

42461440 is an abundant number, since it is smaller than the sum of its proper divisors (76027196).

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

42461440 is an equidigital number, since it uses as much as digits as its factorization.

42461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 691 counting only the distinct ones).

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

The square root of 42461440 is about 6516.2443170894. The cubic root of 42461440 is about 348.8710289375.

Adding to 42461440 its reverse (4416424), we get a palindrome (46877864).

The spelling of 42461440 in words is "forty-two million, four hundred sixty-one thousand, four hundred forty".