1429142416 has 45 divisors (see below), whose sum is σ = 3002474961. Its totient is φ = 658696896.

The previous prime is 1429142401. The next prime is 1429142441. The reversal of 1429142416 is 6142419241.

It is a happy number.

The square root of 1429142416 is 37804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 211411600 + 1217730816 = 14540^2 + 34896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1965445 + ... + 1966171.

Almost surely, 2^1429142416 is an apocalyptic number.

1429142416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1429142416 is the 37804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429142416

1429142416 is an abundant number, since it is smaller than the sum of its proper divisors (1573332545).

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

1429142416 is an frugal number, since it uses more digits than its factorization.

1429142416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 742 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The cubic root of 1429142416 is about 1126.3979109124.

The spelling of 1429142416 in words is "one billion, four hundred twenty-nine million, one hundred forty-two thousand, four hundred sixteen".