440987720480 has 192 divisors, whose sum is σ = 1114283278080. Its totient is φ = 164602368000.

The previous prime is 440987720471. The next prime is 440987720483. The reversal of 440987720480 is 84027789044.

It is a super-2 number, since 2×440987720480² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (440987720483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25915175 + ... + 25932185.

It is an arithmetic number, because the mean of its divisors is an integer number (5803558740).

Almost surely, 2^440987720480 is an apocalyptic number.

440987720480 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 440987720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557141639040).

440987720480 is an abundant number, since it is smaller than the sum of its proper divisors (673295557600).

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

440987720480 is a wasteful number, since it uses less digits than its factorization.

440987720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17243 (or 17235 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 53.

The spelling of 440987720480 in words is "four hundred forty billion, nine hundred eighty-seven million, seven hundred twenty thousand, four hundred eighty".