1329704294400 has 360 divisors, whose sum is σ = 4924956696660. Its totient is φ = 354586705920.

The previous prime is 1329704294389. The next prime is 1329704294453. The reversal of 1329704294400 is 44924079231.

1329704294400 is a `hidden beast` number, since 1 + 32 + 97 + 0 + 42 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1329704294400² (a number of 25 digits) contains 22 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 29 ways as a sum of consecutive naturals, for example, 3986887 + ... + 4307513.

Almost surely, 2^{1329704294400} is an apocalyptic number.

1329704294400 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 1329704294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462478348330).

1329704294400 is an abundant number, since it is smaller than the sum of its proper divisors (3595252402260).

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

1329704294400 is an equidigital number, since it uses as much as digits as its factorization.

1329704294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320671 (or 320637 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1329704294400 in words is "one trillion, three hundred twenty-nine billion, seven hundred four million, two hundred ninety-four thousand, four hundred".