1326752317440 has 1440 divisors, whose sum is σ = 5338036843776. Its totient is φ = 313408880640.

The previous prime is 1326752317433. The next prime is 1326752317469. The reversal of 1326752317440 is 447132576231.

It is a happy number.

1326752317440 is a `hidden beast` number, since 1 + 326 + 7 + 5 + 2 + 317 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×1326752317440³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15984967639 + ... + 15984967721.

Almost surely, 2^{1326752317440} is an apocalyptic number.

1326752317440 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 1326752317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669018421888).

1326752317440 is an abundant number, since it is smaller than the sum of its proper divisors (4011284526336).

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

1326752317440 is an frugal number, since it uses more digits than its factorization.

1326752317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 1326752317440 in words is "one trillion, three hundred twenty-six billion, seven hundred fifty-two million, three hundred seventeen thousand, four hundred forty".