42958944 has 96 divisors (see below), whose sum is σ = 143216640. Its totient is φ = 12272256.

The previous prime is 42958933. The next prime is 42958969. The reversal of 42958944 is 44985924.

42958944 is a `hidden beast` number, since 4 + 29 + 589 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 42958944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497 + ... + 9599.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 2^42958944 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 42958944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

42958944 is an abundant number, since it is smaller than the sum of its proper divisors (100257696).

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

42958944 is a wasteful number, since it uses less digits than its factorization.

42958944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129 (or 7115 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 42958944 is about 6554.3072860524. The cubic root of 42958944 is about 350.2282701374.

The spelling of 42958944 in words is "forty-two million, nine hundred fifty-eight thousand, nine hundred forty-four".