1324215100240 has 80 divisors (see below), whose sum is σ = 3122321172048. Its totient is φ = 522204807168.

The previous prime is 1324215100223. The next prime is 1324215100253. The reversal of 1324215100240 is 420015124231.

It can be written as a sum of positive squares in 8 ways, for example, as 67968661264 + 1256246438976 = 260708^2 + 1120824^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13833984 + ... + 13929376.

Almost surely, 2^{1324215100240} is an apocalyptic number.

1324215100240 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 1324215100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561160586024).

1324215100240 is an abundant number, since it is smaller than the sum of its proper divisors (1798106071808).

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

1324215100240 is a wasteful number, since it uses less digits than its factorization.

1324215100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97856 (or 97850 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 1324215100240 in words is "one trillion, three hundred twenty-four billion, two hundred fifteen million, one hundred thousand, two hundred forty".