42205440 has 144 divisors (see below), whose sum is σ = 139809600. Its totient is φ = 10838016.

The previous prime is 42205421. The next prime is 42205459. The reversal of 42205440 is 4450224.

It is an interprime number because it is at equal distance from previous prime (42205421) and next prime (42205459).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111171 + ... + 111549.

It is an arithmetic number, because the mean of its divisors is an integer number (970900).

Almost surely, 2^42205440 is an apocalyptic number.

42205440 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 42205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69904800).

42205440 is an abundant number, since it is smaller than the sum of its proper divisors (97604160).

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

42205440 is a wasteful number, since it uses less digits than its factorization.

42205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42205440 is about 6496.5714034404. The cubic root of 42205440 is about 348.1685007746.

Adding to 42205440 its reverse (4450224), we get a palindrome (46655664).

The spelling of 42205440 in words is "forty-two million, two hundred five thousand, four hundred forty".