1321413737600 has 768 divisors, whose sum is σ = 3942193397760. Its totient is φ = 432470016000.

The previous prime is 1321413737587. The next prime is 1321413737627. The reversal of 1321413737600 is 67373141231.

It is a super-2 number, since 2×1321413737600² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 928610489 + ... + 928611911.

It is an arithmetic number, because the mean of its divisors is an integer number (5133064320).

Almost surely, 2^{1321413737600} is an apocalyptic number.

1321413737600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321413737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971096698880).

1321413737600 is an abundant number, since it is smaller than the sum of its proper divisors (2620779660160).

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

1321413737600 is a wasteful number, since it uses less digits than its factorization.

1321413737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

Adding to 1321413737600 its reverse (67373141231), we get a palindrome (1388786878831).

The spelling of 1321413737600 in words is "one trillion, three hundred twenty-one billion, four hundred thirteen million, seven hundred thirty-seven thousand, six hundred".