440012310144 has 128 divisors (see below), whose sum is σ = 1280606328000. Its totient is φ = 132754513920.

The previous prime is 440012310061. The next prime is 440012310191. The reversal of 440012310144 is 441013210044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×440012310144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739852 + ... + 1194740.

Almost surely, 2^440012310144 is an apocalyptic number.

440012310144 is a gapful number since it is divisible by the number (44) 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 440012310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640303164000).

440012310144 is an abundant number, since it is smaller than the sum of its proper divisors (840594017856).

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

440012310144 is a wasteful number, since it uses less digits than its factorization.

440012310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455146 (or 455134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 440012310144 its reverse (441013210044), we get a palindrome (881025520188).

The spelling of 440012310144 in words is "four hundred forty billion, twelve million, three hundred ten thousand, one hundred forty-four".