440448120000 has 840 divisors, whose sum is σ = 1898042432000. Its totient is φ = 95364864000.

The previous prime is 440448119987. The next prime is 440448120067. The reversal of 440448120000 is 21844044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-3 number, since 3×440448120000³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47875401 + ... + 47884599.

Almost surely, 2^440448120000 is an apocalyptic number.

440448120000 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 440448120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949021216000).

440448120000 is an abundant number, since it is smaller than the sum of its proper divisors (1457594312000).

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

440448120000 is a wasteful number, since it uses less digits than its factorization.

440448120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263 (or 9235 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 440448120000 its reverse (21844044), we get a palindrome (440469964044).

The spelling of 440448120000 in words is "four hundred forty billion, four hundred forty-eight million, one hundred twenty thousand".