1329059489040 has 200 divisors, whose sum is σ = 4659163312320. Its totient is φ = 351103382784.

The previous prime is 1329059489029. The next prime is 1329059489057. The reversal of 1329059489040 is 409849509231.

1329059489040 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 0 + 594 + 8 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265060 + ... + 1651779.

Almost surely, 2^{1329059489040} is an apocalyptic number.

1329059489040 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 1329059489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329581656160).

1329059489040 is an abundant number, since it is smaller than the sum of its proper divisors (3330103823280).

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

1329059489040 is a wasteful number, since it uses less digits than its factorization.

1329059489040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916971 (or 1916956 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1329059489040 in words is "one trillion, three hundred twenty-nine billion, fifty-nine million, four hundred eighty-nine thousand, forty".