42412240 has 60 divisors (see below), whose sum is σ = 106811244. Its totient is φ = 15654912.

The previous prime is 42412231. The next prime is 42412241. The reversal of 42412240 is 4221424.

It can be written as a sum of positive squares in 6 ways, for example, as 318096 + 42094144 = 564^2 + 6488^2 .

It is a super-4 number, since 4×42412240⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42412241) 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, 11952 + ... + 15088.

Almost surely, 2^42412240 is an apocalyptic number.

42412240 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 42412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53405622).

42412240 is an abundant number, since it is smaller than the sum of its proper divisors (64399004).

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

42412240 is a wasteful number, since it uses less digits than its factorization.

42412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 42412240 is about 6512.4680421481. The cubic root of 42412240 is about 348.7362314336.

Adding to 42412240 its reverse (4221424), we get a palindrome (46633664).

The spelling of 42412240 in words is "forty-two million, four hundred twelve thousand, two hundred forty".