440135012000 has 96 divisors (see below), whose sum is σ = 1081633512960. Its totient is φ = 176017900800.

The previous prime is 440135011993. The next prime is 440135012041. The reversal of 440135012000 is 210531044.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28500281 + ... + 28515719.

It is an arithmetic number, because the mean of its divisors is an integer number (11267015760).

Almost surely, 2^440135012000 is an apocalyptic number.

440135012000 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 440135012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540816756480).

440135012000 is an abundant number, since it is smaller than the sum of its proper divisors (641498500960).

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

440135012000 is a wasteful number, since it uses less digits than its factorization.

440135012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22591 (or 22573 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 440135012000 its reverse (210531044), we get a palindrome (440345543044).

The spelling of 440135012000 in words is "four hundred forty billion, one hundred thirty-five million, twelve thousand".