1329863085040 has 240 divisors, whose sum is σ = 3725284111200. Its totient is φ = 439695599616.

The previous prime is 1329863085007. The next prime is 1329863085073. The reversal of 1329863085040 is 405803689231.

It is an interprime number because it is at equal distance from previous prime (1329863085007) and next prime (1329863085073).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99690691 + ... + 99704029.

It is an arithmetic number, because the mean of its divisors is an integer number (15522017130).

Almost surely, 2^{1329863085040} is an apocalyptic number.

1329863085040 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 1329863085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862642055600).

1329863085040 is an abundant number, since it is smaller than the sum of its proper divisors (2395421026160).

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

1329863085040 is a wasteful number, since it uses less digits than its factorization.

1329863085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14272 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 1329863085040 in words is "one trillion, three hundred twenty-nine billion, eight hundred sixty-three million, eighty-five thousand, forty".