1329227366400 has 660 divisors, whose sum is σ = 4940108793642. Its totient is φ = 353328168960.

The previous prime is 1329227366339. The next prime is 1329227366431. The reversal of 1329227366400 is 46637229231.

1329227366400 is a `hidden beast` number, since 1 + 3 + 29 + 227 + 366 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 530077188096 + 799150178304 = 728064^2 + 893952^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4246732644 + ... + 4246732956.

Almost surely, 2^{1329227366400} is an apocalyptic number.

1329227366400 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 1329227366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470054396821).

1329227366400 is an abundant number, since it is smaller than the sum of its proper divisors (3610881427242).

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

1329227366400 is an frugal number, since it uses more digits than its factorization.

1329227366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 1329227366400 in words is "one trillion, three hundred twenty-nine billion, two hundred twenty-seven million, three hundred sixty-six thousand, four hundred".