1321314414140 has 48 divisors (see below), whose sum is σ = 3175966886400. Its totient is φ = 452334614592.

The previous prime is 1321314414131. The next prime is 1321314414163. The reversal of 1321314414140 is 414144131231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 7068560 + ... + 7253079.

It is an arithmetic number, because the mean of its divisors is an integer number (66165976800).

Almost surely, 2^{1321314414140} is an apocalyptic number.

1321314414140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321314414140 is an abundant number, since it is smaller than the sum of its proper divisors (1854652472260).

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

1321314414140 is a wasteful number, since it uses less digits than its factorization.

1321314414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14322314 (or 14322312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1321314414140 its reverse (414144131231), we get a palindrome (1735458545371).

The spelling of 1321314414140 in words is "one trillion, three hundred twenty-one billion, three hundred fourteen million, four hundred fourteen thousand, one hundred forty".