1329406416 has 120 divisors (see below), whose sum is σ = 4034075136. Its totient is φ = 406252800.

The previous prime is 1329406399. The next prime is 1329406423. The reversal of 1329406416 is 6146049231.

1329406416 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 4 + 0 + 641 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280321 + ... + 285023.

Almost surely, 2^1329406416 is an apocalyptic number.

1329406416 is a gapful number since it is divisible by the number (16) 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 1329406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017037568).

1329406416 is an abundant number, since it is smaller than the sum of its proper divisors (2704668720).

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

1329406416 is a wasteful number, since it uses less digits than its factorization.

1329406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881 (or 4872 counting only the distinct ones).

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

The square root of 1329406416 is about 36461.0259866614. The cubic root of 1329406416 is about 1099.5608208226.

The spelling of 1329406416 in words is "one billion, three hundred twenty-nine million, four hundred six thousand, four hundred sixteen".