1468138318640 has 80 divisors (see below), whose sum is σ = 3906127283520. Its totient is φ = 502706995200.

The previous prime is 1468138318601. The next prime is 1468138318643. The reversal of 1468138318640 is 468138318641.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1468138318643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273961 + ... + 2135240.

It is an arithmetic number, because the mean of its divisors is an integer number (48826591044).

Almost surely, 2^{1468138318640} is an apocalyptic number.

1468138318640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468138318640 is an abundant number, since it is smaller than the sum of its proper divisors (2437988964880).

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

1468138318640 is a wasteful number, since it uses less digits than its factorization.

1468138318640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409990 (or 3409984 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 53.

Subtracting from 1468138318640 its reverse (468138318641), we obtain a palindrome (999999999999).

The spelling of 1468138318640 in words is "one trillion, four hundred sixty-eight billion, one hundred thirty-eight million, three hundred eighteen thousand, six hundred forty".