440670420000 has 720 divisors, whose sum is σ = 1657944288000. Its totient is φ = 110681856000.

The previous prime is 440670419963. The next prime is 440670420007. The reversal of 440670420000 is 24076044.

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

It is not an unprimeable number, because it can be changed into a prime (440670420007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 919979761 + ... + 919980239.

It is an arithmetic number, because the mean of its divisors is an integer number (2302700400).

Almost surely, 2^440670420000 is an apocalyptic number.

440670420000 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 440670420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828972144000).

440670420000 is an abundant number, since it is smaller than the sum of its proper divisors (1217273868000).

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

440670420000 is a wasteful number, since it uses less digits than its factorization.

440670420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 440670420000 its reverse (24076044), we get a palindrome (440694496044).

The spelling of 440670420000 in words is "four hundred forty billion, six hundred seventy million, four hundred twenty thousand".