42944160 has 96 divisors (see below), whose sum is σ = 154611072. Its totient is φ = 9815040.

The previous prime is 42944149. The next prime is 42944171. The reversal of 42944160 is 6144924.

It is an interprime number because it is at equal distance from previous prime (42944149) and next prime (42944171).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 3031 + ... + 9750.

It is an arithmetic number, because the mean of its divisors is an integer number (1610532).

Almost surely, 2^42944160 is an apocalyptic number.

42944160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42944160 is an abundant number, since it is smaller than the sum of its proper divisors (111666912).

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

42944160 is a wasteful number, since it uses less digits than its factorization.

42944160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42944160 is about 6553.1793810333. The cubic root of 42944160 is about 350.1880893792.

The spelling of 42944160 in words is "forty-two million, nine hundred forty-four thousand, one hundred sixty".