1434320000 has 80 divisors (see below), whose sum is σ = 3570849150. Its totient is φ = 573696000.

The previous prime is 1434319963. The next prime is 1434320047. The reversal of 1434320000 is 234341.

It can be written as a sum of positive squares in 5 ways, for example, as 25969216 + 1408350784 = 5096^2 + 37528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 9 ways as a sum of consecutive naturals, for example, 71036 + ... + 88964.

Almost surely, 2^1434320000 is an apocalyptic number.

1434320000 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 1434320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785424575).

1434320000 is an abundant number, since it is smaller than the sum of its proper divisors (2136529150).

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

1434320000 is an frugal number, since it uses more digits than its factorization.

1434320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17963 (or 17936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1434320000 is about 37872.4174036990. The cubic root of 1434320000 is about 1127.7565324679.

Adding to 1434320000 its reverse (234341), we get a palindrome (1434554341).

It can be divided in two parts, 14343 and 20000, that added together give a palindrome (34343).

The spelling of 1434320000 in words is "one billion, four hundred thirty-four million, three hundred twenty thousand".