1329805440 has 384 divisors, whose sum is σ = 5012280000. Its totient is φ = 323592192.

The previous prime is 1329805403. The next prime is 1329805471. The reversal of 1329805440 is 445089231.

1329805440 is a `hidden beast` number, since 1 + 32 + 9 + 80 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1329805395 and 1329805404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3173551 + ... + 3173969.

Almost surely, 2^1329805440 is an apocalyptic number.

1329805440 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 1329805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506140000).

1329805440 is an abundant number, since it is smaller than the sum of its proper divisors (3682474560).

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

1329805440 is a wasteful number, since it uses less digits than its factorization.

1329805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1329805440 is about 36466.4975011311. The cubic root of 1329805440 is about 1099.6708216124.

The spelling of 1329805440 in words is "one billion, three hundred twenty-nine million, eight hundred five thousand, four hundred forty".