42414120 has 96 divisors (see below), whose sum is σ = 157547520. Its totient is φ = 9694080.

The previous prime is 42414109. The next prime is 42414121. The reversal of 42414120 is 2141424.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42414093 and 42414102.

It is not an unprimeable number, because it can be changed into a prime (42414121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5896 + ... + 10935.

It is an arithmetic number, because the mean of its divisors is an integer number (1641120).

Almost surely, 2^42414120 is an apocalyptic number.

42414120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42414120 is an abundant number, since it is smaller than the sum of its proper divisors (115133400).

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

42414120 is a wasteful number, since it uses less digits than its factorization.

42414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855 (or 16848 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42414120 is about 6512.6123790688. The cubic root of 42414120 is about 348.7413841476.

Adding to 42414120 its reverse (2141424), we get a palindrome (44555544).

The spelling of 42414120 in words is "forty-two million, four hundred fourteen thousand, one hundred twenty".