1352321440000 has 180 divisors, whose sum is σ = 3571546773564. Its totient is φ = 509108224000.

The previous prime is 1352321439991. The next prime is 1352321440003. The reversal of 1352321440000 is 441232531.

It can be written as a sum of positive squares in 10 ways, for example, as 478111399936 + 874210040064 = 691456^2 + 934992^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1352321440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2471412 + ... + 2968588.

Almost surely, 2^{1352321440000} is an apocalyptic number.

1352321440000 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 1352321440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785773386782).

1352321440000 is an abundant number, since it is smaller than the sum of its proper divisors (2219225333564).

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

1352321440000 is an frugal number, since it uses more digits than its factorization.

1352321440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497230 (or 497201 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1352321440000 its reverse (441232531), we get a palindrome (1352762672531).

The spelling of 1352321440000 in words is "one trillion, three hundred fifty-two billion, three hundred twenty-one million, four hundred forty thousand".