1344563140500 has 144 divisors (see below), whose sum is σ = 4242196642320. Its totient is φ = 358503840000.

The previous prime is 1344563140457. The next prime is 1344563140553. The reversal of 1344563140500 is 50413654431.

1344563140500 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 5 + 6 + 3 + 140 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7195789584 + 1337367350916 = 84828^2 + 1156446^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48176550 + ... + 48204450.

It is an arithmetic number, because the mean of its divisors is an integer number (29459698905).

Almost surely, 2^{1344563140500} is an apocalyptic number.

1344563140500 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 1344563140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121098321160).

1344563140500 is an abundant number, since it is smaller than the sum of its proper divisors (2897633501820).

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

1344563140500 is a wasteful number, since it uses less digits than its factorization.

1344563140500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38635 (or 38620 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1344563140500 its reverse (50413654431), we get a palindrome (1394976794931).

The spelling of 1344563140500 in words is "one trillion, three hundred forty-four billion, five hundred sixty-three million, one hundred forty thousand, five hundred".