42405768 has 80 divisors (see below), whose sum is σ = 122664960. Its totient is φ = 13672800.

The previous prime is 42405763. The next prime is 42405787. The reversal of 42405768 is 86750424.

42405768 is a `hidden beast` number, since 42 + 40 + 576 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42405761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19033 + ... + 21143.

It is an arithmetic number, because the mean of its divisors is an integer number (1533312).

Almost surely, 2^42405768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42405768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61332480).

42405768 is an abundant number, since it is smaller than the sum of its proper divisors (80259192).

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

42405768 is a wasteful number, since it uses less digits than its factorization.

42405768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42405768 is about 6511.9711301571. The cubic root of 42405768 is about 348.7184917771.

The spelling of 42405768 in words is "forty-two million, four hundred five thousand, seven hundred sixty-eight".