42111648 has 36 divisors (see below), whose sum is σ = 119755818. Its totient is φ = 14037120.

The previous prime is 42111623. The next prime is 42111659. The reversal of 42111648 is 84611124.

It is a happy number.

42111648 is a `hidden beast` number, since 4 + 2 + 1 + 11 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33039504 + 9072144 = 5748^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72823 + ... + 73398.

Almost surely, 2^42111648 is an apocalyptic number.

42111648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42111648 is an abundant number, since it is smaller than the sum of its proper divisors (77644170).

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

42111648 is a wasteful number, since it uses less digits than its factorization.

42111648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146237 (or 146226 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 42111648 is about 6489.3488117068. The cubic root of 42111648 is about 347.9104010314.

The spelling of 42111648 in words is "forty-two million, one hundred eleven thousand, six hundred forty-eight".