440134022012240 has 160 divisors (see below), whose sum is σ = 1103477775402240. Its totient is φ = 162714443673600.

The previous prime is 440134022012227. The next prime is 440134022012249. The reversal of 440134022012240 is 42210220431044.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440134022012249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2342577182 + ... + 2342765058.

It is an arithmetic number, because the mean of its divisors is an integer number (6896736096264).

Almost surely, 2^{440134022012240} is an apocalyptic number.

440134022012240 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 440134022012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551738887701120).

440134022012240 is an abundant number, since it is smaller than the sum of its proper divisors (663343753390000).

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

440134022012240 is a wasteful number, since it uses less digits than its factorization.

440134022012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225541 (or 225535 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 440134022012240 its reverse (42210220431044), we get a palindrome (482344242443284).

The spelling of 440134022012240 in words is "four hundred forty trillion, one hundred thirty-four billion, twenty-two million, twelve thousand, two hundred forty".