1440450540441 has 96 divisors (see below), whose sum is σ = 2513758740480. Its totient is φ = 791091243360.

The previous prime is 1440450540343. The next prime is 1440450540449.

1440450540441 is a `hidden beast` number, since 144 + 0 + 4 + 505 + 4 + 0 + 4 + 4 + 1 = 666.

1440450540441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1440450540441 - 2⁷ = 1440450540313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1440450540396 and 1440450540405.

It is not an unprimeable number, because it can be changed into a prime (1440450540449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5097240 + ... + 5372406.

It is an arithmetic number, because the mean of its divisors is an integer number (26184986880).

Almost surely, 2^{1440450540441} is an apocalyptic number.

1440450540441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1440450540441 is a deficient number, since it is larger than the sum of its proper divisors (1073308200039).

1440450540441 is a wasteful number, since it uses less digits than its factorization.

1440450540441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275248 (or 275223 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 1440450 and 540441, that added together give a palindrome (1980891).

The spelling of 1440450540441 in words is "one trillion, four hundred forty billion, four hundred fifty million, five hundred forty thousand, four hundred forty-one".