42149920 has 24 divisors (see below), whose sum is σ = 99579564. Its totient is φ = 16859904.

The previous prime is 42149911. The next prime is 42149941. The reversal of 42149920 is 2994124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 1547536 = 6372^2 + 1244^2 .

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 3 ways as a sum of consecutive naturals, for example, 131559 + ... + 131878.

Almost surely, 2^42149920 is an apocalyptic number.

42149920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42149920 is an abundant number, since it is smaller than the sum of its proper divisors (57429644).

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

42149920 is a wasteful number, since it uses less digits than its factorization.

42149920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263452 (or 263444 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 42149920 is about 6492.2969741071. The cubic root of 42149920 is about 348.0157653491.

The spelling of 42149920 in words is "forty-two million, one hundred forty-nine thousand, nine hundred twenty".