42611712 has 176 divisors, whose sum is σ = 134807232. Its totient is φ = 11796480.

The previous prime is 42611693. The next prime is 42611717. The reversal of 42611712 is 21711624.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42611717) 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 15 ways as a sum of consecutive naturals, for example, 439248 + ... + 439344.

Almost surely, 2^42611712 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 42611712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67403616).

42611712 is an abundant number, since it is smaller than the sum of its proper divisors (92195520).

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

42611712 is a wasteful number, since it uses less digits than its factorization.

42611712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 42611712 is about 6527.7647016417. The cubic root of 42611712 is about 349.2820985534.

The spelling of 42611712 in words is "forty-two million, six hundred eleven thousand, seven hundred twelve".