42102912 has 64 divisors (see below), whose sum is σ = 113268960. Its totient is φ = 13854720.

The previous prime is 42102911. The next prime is 42102923. The reversal of 42102912 is 21920124.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42102911) by changing a digit.

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, 31212 + ... + 32532.

Almost surely, 2^42102912 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 42102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56634480).

42102912 is an abundant number, since it is smaller than the sum of its proper divisors (71166048).

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

42102912 is a wasteful number, since it uses less digits than its factorization.

42102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 42102912 is about 6488.6756738182. The cubic root of 42102912 is about 347.8863415324.

The spelling of 42102912 in words is "forty-two million, one hundred two thousand, nine hundred twelve".