440022414312 has 256 divisors, whose sum is σ = 1345852972800. Its totient is φ = 132370467840.

The previous prime is 440022414301. The next prime is 440022414373. The reversal of 440022414312 is 213414220044.

440022414312 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 224 + 1 + 431 + 2 = 666.

440022414312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×440022414312² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43600387 + ... + 43610477.

It is an arithmetic number, because the mean of its divisors is an integer number (5257238175).

Almost surely, 2^440022414312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440022414312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672926486400).

440022414312 is an abundant number, since it is smaller than the sum of its proper divisors (905830558488).

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

440022414312 is a wasteful number, since it uses less digits than its factorization.

440022414312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10455 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 440022414312 its reverse (213414220044), we get a palindrome (653436634356).

The spelling of 440022414312 in words is "four hundred forty billion, twenty-two million, four hundred fourteen thousand, three hundred twelve".