1329613840800 has 864 divisors, whose sum is σ = 5500256711040. Its totient is φ = 295949721600.

The previous prime is 1329613840783. The next prime is 1329613840817. The reversal of 1329613840800 is 80483169231.

1329613840800 is a `hidden beast` number, since 1 + 3 + 29 + 613 + 8 + 4 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1329613840783) and next prime (1329613840817).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 371295010 + ... + 371298590.

It is an arithmetic number, because the mean of its divisors is an integer number (6366037860).

Almost surely, 2^{1329613840800} is an apocalyptic number.

1329613840800 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 1329613840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750128355520).

1329613840800 is an abundant number, since it is smaller than the sum of its proper divisors (4170642870240).

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

1329613840800 is a wasteful number, since it uses less digits than its factorization.

1329613840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1329613840800 in words is "one trillion, three hundred twenty-nine billion, six hundred thirteen million, eight hundred forty thousand, eight hundred".