1429338240 has 384 divisors, whose sum is σ = 5705406720. Its totient is φ = 325877760.

The previous prime is 1429338227. The next prime is 1429338241. The reversal of 1429338240 is 428339241.

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 = 1429338195 and 1429338204.

It is not an unprimeable number, because it can be changed into a prime (1429338241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076457 + ... + 1077783.

It is an arithmetic number, because the mean of its divisors is an integer number (14857830).

Almost surely, 2^1429338240 is an apocalyptic number.

1429338240 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 1429338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852703360).

1429338240 is an abundant number, since it is smaller than the sum of its proper divisors (4276068480).

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

1429338240 is a wasteful number, since it uses less digits than its factorization.

1429338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1429338240 is about 37806.5899017618. The cubic root of 1429338240 is about 1126.4493556735.

The spelling of 1429338240 in words is "one billion, four hundred twenty-nine million, three hundred thirty-eight thousand, two hundred forty".