1329368040 has 1152 divisors, whose sum is σ = 6453457920. Its totient is φ = 232243200.

The previous prime is 1329367987. The next prime is 1329368063. The reversal of 1329368040 is 408639231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1329367986 and 1329368004.

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 287 ways as a sum of consecutive naturals, for example, 42882825 + ... + 42882855.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^1329368040 is an apocalyptic number.

1329368040 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 1329368040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226728960).

1329368040 is an abundant number, since it is smaller than the sum of its proper divisors (5124089880).

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

1329368040 is a wasteful number, since it uses less digits than its factorization.

1329368040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1329368040 is about 36460.4997223022. The cubic root of 1329368040 is about 1099.5502403732.

The spelling of 1329368040 in words is "one billion, three hundred twenty-nine million, three hundred sixty-eight thousand, forty".