1329937105140 has 768 divisors, whose sum is σ = 5183668224000. Its totient is φ = 276054220800.

The previous prime is 1329937105069. The next prime is 1329937105187. The reversal of 1329937105140 is 415017399231.

1329937105140 is a `hidden beast` number, since 1 + 3 + 2 + 99 + 37 + 10 + 514 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 858577086 + ... + 858578634.

It is an arithmetic number, because the mean of its divisors is an integer number (6749568000).

Almost surely, 2^{1329937105140} is an apocalyptic number.

1329937105140 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 1329937105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591834112000).

1329937105140 is an abundant number, since it is smaller than the sum of its proper divisors (3853731118860).

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

1329937105140 is a wasteful number, since it uses less digits than its factorization.

1329937105140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1329937105140 in words is "one trillion, three hundred twenty-nine billion, nine hundred thirty-seven million, one hundred five thousand, one hundred forty".