42412920 has 192 divisors, whose sum is σ = 147087360. Its totient is φ = 9757440.

The previous prime is 42412913. The next prime is 42412933. The reversal of 42412920 is 2921424.

42412920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333897 + ... + 334023.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 2^42412920 is an apocalyptic number.

42412920 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 42412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680).

42412920 is an abundant number, since it is smaller than the sum of its proper divisors (104674440).

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

42412920 is a wasteful number, since it uses less digits than its factorization.

42412920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42412920 is about 6512.5202494887. The cubic root of 42412920 is about 348.7380951988.

The spelling of 42412920 in words is "forty-two million, four hundred twelve thousand, nine hundred twenty".