440514849216 has 224 divisors, whose sum is σ = 1339866662400. Its totient is φ = 126599639040.

The previous prime is 440514849191. The next prime is 440514849221. The reversal of 440514849216 is 612948415044.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 3301690 + ... + 3432518.

It is an arithmetic number, because the mean of its divisors is an integer number (5981547600).

Almost surely, 2^440514849216 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 440514849216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669933331200).

440514849216 is an abundant number, since it is smaller than the sum of its proper divisors (899351813184).

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

440514849216 is a wasteful number, since it uses less digits than its factorization.

440514849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130947 (or 130937 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 440514849216 in words is "four hundred forty billion, five hundred fourteen million, eight hundred forty-nine thousand, two hundred sixteen".