1321411440414 has 48 divisors (see below), whose sum is σ = 2863803600000. Its totient is φ = 406297071648.

The previous prime is 1321411440409. The next prime is 1321411440509. The reversal of 1321411440414 is 4140441141231.

It is a super-2 number, since 2×1321411440414² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952837 + ... + 1884335.

It is an arithmetic number, because the mean of its divisors is an integer number (59662575000).

Almost surely, 2^{1321411440414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321411440414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431901800000).

1321411440414 is an abundant number, since it is smaller than the sum of its proper divisors (1542392159586).

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

1321411440414 is a wasteful number, since it uses less digits than its factorization.

1321411440414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932929 (or 932916 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 1321411440414 its reverse (4140441141231), we get a palindrome (5461852581645).

The spelling of 1321411440414 in words is "one trillion, three hundred twenty-one billion, four hundred eleven million, four hundred forty thousand, four hundred fourteen".