42114688 has 64 divisors (see below), whose sum is σ = 104627520. Its totient is φ = 16404480.

The previous prime is 42114643. The next prime is 42114689. The reversal of 42114688 is 88641124.

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 (42114689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7720 + ... + 11992.

It is an arithmetic number, because the mean of its divisors is an integer number (1634805).

Almost surely, 2^42114688 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 42114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52313760).

42114688 is an abundant number, since it is smaller than the sum of its proper divisors (62512832).

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

42114688 is a wasteful number, since it uses less digits than its factorization.

42114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4293 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 42114688 is about 6489.5830374532. The cubic root of 42114688 is about 347.9187726041.

The spelling of 42114688 in words is "forty-two million, one hundred fourteen thousand, six hundred eighty-eight".