1355244240000 has 640 divisors, whose sum is σ = 5318490038400. Its totient is φ = 299077632000.

The previous prime is 1355244239989. The next prime is 1355244240017. The reversal of 1355244240000 is 424425531.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1355244240000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48706092 + ... + 48733908.

It is an arithmetic number, because the mean of its divisors is an integer number (8310140685).

Almost surely, 2^{1355244240000} is an apocalyptic number.

1355244240000 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 1355244240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659245019200).

1355244240000 is an abundant number, since it is smaller than the sum of its proper divisors (3963245798400).

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

1355244240000 is an equidigital number, since it uses as much as digits as its factorization.

1355244240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27890 (or 27863 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 1355244240000 its reverse (424425531), we get a palindrome (1355668665531).

The spelling of 1355244240000 in words is "one trillion, three hundred fifty-five billion, two hundred forty-four million, two hundred forty thousand".