1326739778000 has 800 divisors, whose sum is σ = 4116681328032. Its totient is φ = 410941440000.

The previous prime is 1326739777991. The next prime is 1326739778003. The reversal of 1326739778000 is 8779376231.

It can be written as a sum of positive squares in 16 ways, for example, as 598475526544 + 728264251456 = 773612^2 + 853384^2 .

It is a super-3 number, since 3×1326739778000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1326739778003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3308577800 + ... + 3308578200.

Almost surely, 2^{1326739778000} is an apocalyptic number.

1326739778000 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 1326739778000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058340664016).

1326739778000 is an abundant number, since it is smaller than the sum of its proper divisors (2789941550032).

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

1326739778000 is an equidigital number, since it uses as much as digits as its factorization.

1326739778000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 53.

The spelling of 1326739778000 in words is "one trillion, three hundred twenty-six billion, seven hundred thirty-nine million, seven hundred seventy-eight thousand".