1326408615000 has 400 divisors, whose sum is σ = 5305701944400. Its totient is φ = 303178464000.

The previous prime is 1326408614989. The next prime is 1326408615001. The reversal of 1326408615000 is 5168046231.

It is a happy number.

1326408615000 is a `hidden beast` number, since 1 + 3 + 2 + 640 + 8 + 6 + 1 + 5 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326408615001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2601066 + ... + 3068934.

It is an arithmetic number, because the mean of its divisors is an integer number (13264254861).

Almost surely, 2^{1326408615000} is an apocalyptic number.

1326408615000 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 1326408615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652850972200).

1326408615000 is an abundant number, since it is smaller than the sum of its proper divisors (3979293329400).

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

1326408615000 is an equidigital number, since it uses as much as digits as its factorization.

1326408615000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467914 (or 467886 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1326408615000 in words is "one trillion, three hundred twenty-six billion, four hundred eight million, six hundred fifteen thousand".