1429209216 has 96 divisors (see below), whose sum is σ = 4120107420. Its totient is φ = 475545600.

The previous prime is 1429209179. The next prime is 1429209239. The reversal of 1429209216 is 6129029241.

1429209216 is a `hidden beast` number, since 1 + 429 + 209 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1421591616 + 7617600 = 37704^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1189416 + ... + 1190616.

Almost surely, 2^1429209216 is an apocalyptic number.

1429209216 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 1429209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060053710).

1429209216 is an abundant number, since it is smaller than the sum of its proper divisors (2690898204).

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

1429209216 is a wasteful number, since it uses less digits than its factorization.

1429209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1429209216 is about 37804.8834940673. The cubic root of 1429209216 is about 1126.4154604132.

The spelling of 1429209216 in words is "one billion, four hundred twenty-nine million, two hundred nine thousand, two hundred sixteen".