440214320000 has 640 divisors, whose sum is σ = 1428524475840. Its totient is φ = 131088384000.

The previous prime is 440214319991. The next prime is 440214320027. The reversal of 440214320000 is 23412044.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123758222 + ... + 123761778.

Almost surely, 2^440214320000 is an apocalyptic number.

440214320000 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 440214320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714262237920).

440214320000 is an abundant number, since it is smaller than the sum of its proper divisors (988310155840).

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

440214320000 is a wasteful number, since it uses less digits than its factorization.

440214320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 440214320000 its reverse (23412044), we get a palindrome (440237732044).

The spelling of 440214320000 in words is "four hundred forty billion, two hundred fourteen million, three hundred twenty thousand".