42944348160 has 720 divisors, whose sum is σ = 174450459456. Its totient is φ = 9569304576.

The previous prime is 42944348149. The next prime is 42944348171. The reversal of 42944348160 is 6184344924.

42944348160 is a `hidden beast` number, since 4 + 2 + 9 + 443 + 48 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (42944348149) and next prime (42944348171).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273530802 + ... + 273530958.

Almost surely, 2^42944348160 is an apocalyptic number.

42944348160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42944348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87225229728).

42944348160 is an abundant number, since it is smaller than the sum of its proper divisors (131506111296).

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

42944348160 is a wasteful number, since it uses less digits than its factorization.

42944348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42944348160 in words is "forty-two billion, nine hundred forty-four million, three hundred forty-eight thousand, one hundred sixty".