42940032 has 64 divisors (see below), whose sum is σ = 115831200. Its totient is φ = 14091264.

The previous prime is 42940003. The next prime is 42940043. The reversal of 42940032 is 23004924.

It is a happy number.

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

It is a super-2 number, since 2×42940032² = 3687692696322048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42939984 and 42940011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 24894 + ... + 26562.

Almost surely, 2^42940032 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 42940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915600).

42940032 is an abundant number, since it is smaller than the sum of its proper divisors (72891168).

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

42940032 is a wasteful number, since it uses less digits than its factorization.

42940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42940032 is about 6552.8644118431. The cubic root of 42940032 is about 350.1768684297.

Adding to 42940032 its reverse (23004924), we get a palindrome (65944956).

The spelling of 42940032 in words is "forty-two million, nine hundred forty thousand, thirty-two".