1329914880 has 792 divisors, whose sum is σ = 5824615680. Its totient is φ = 278691840.

The previous prime is 1329914869. The next prime is 1329914891. The reversal of 1329914880 is 884199231.

It is an interprime number because it is at equal distance from previous prime (1329914869) and next prime (1329914891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42900465 + ... + 42900495.

Almost surely, 2^1329914880 is an apocalyptic number.

1329914880 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 1329914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912307840).

1329914880 is an abundant number, since it is smaller than the sum of its proper divisors (4494700800).

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

1329914880 is a wasteful number, since it uses less digits than its factorization.

1329914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1329914880 is about 36467.9980256663. The cubic root of 1329914880 is about 1099.7009875975.

The spelling of 1329914880 in words is "one billion, three hundred twenty-nine million, nine hundred fourteen thousand, eight hundred eighty".