440020114401312 has 72 divisors (see below), whose sum is σ = 1291671948752640. Its totient is φ = 141941972384640.

The previous prime is 440020114401311. The next prime is 440020114401337. The reversal of 440020114401312 is 213104411020044.

440020114401312 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 201 + 1 + 440 + 1 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (440020114401311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24642694612 + ... + 24642712467.

It is an arithmetic number, because the mean of its divisors is an integer number (17939888177120).

Almost surely, 2^{440020114401312} is an apocalyptic number.

It is an amenable number.

440020114401312 is an abundant number, since it is smaller than the sum of its proper divisors (851651834351328).

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

440020114401312 is a wasteful number, since it uses less digits than its factorization.

440020114401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49285407126 (or 49285407115 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 440020114401312 its reverse (213104411020044), we get a palindrome (653124525421356).

The spelling of 440020114401312 in words is "four hundred forty trillion, twenty billion, one hundred fourteen million, four hundred one thousand, three hundred twelve".