42242240 has 56 divisors (see below), whose sum is σ = 101662992. Its totient is φ = 16716800.

The previous prime is 42242173. The next prime is 42242251. The reversal of 42242240 is 4224224.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31667 + ... + 32973.

Almost surely, 2^42242240 is an apocalyptic number.

42242240 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 42242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50831496).

42242240 is an abundant number, since it is smaller than the sum of its proper divisors (59420752).

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

42242240 is a wasteful number, since it uses less digits than its factorization.

42242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42242240 is about 6499.4030495115. The cubic root of 42242240 is about 348.2696637112.

42242240 divided by its sum of digits (20) gives a palindrome (2112112).

Adding to 42242240 its reverse (4224224), we get a palindrome (46466464).

The spelling of 42242240 in words is "forty-two million, two hundred forty-two thousand, two hundred forty".