1329005340 has 288 divisors, whose sum is σ = 4624361280. Its totient is φ = 314979840.

The previous prime is 1329005303. The next prime is 1329005411. The reversal of 1329005340 is 435009231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6746122 + ... + 6746318.

It is an arithmetic number, because the mean of its divisors is an integer number (16056810).

Almost surely, 2^1329005340 is an apocalyptic number.

1329005340 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 1329005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312180640).

1329005340 is an abundant number, since it is smaller than the sum of its proper divisors (3295355940).

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

1329005340 is a wasteful number, since it uses less digits than its factorization.

1329005340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1329005340 is about 36455.5255071162. The cubic root of 1329005340 is about 1099.4502321649.

The spelling of 1329005340 in words is "one billion, three hundred twenty-nine million, five thousand, three hundred forty".