1430141200 has 60 divisors (see below), whose sum is σ = 3453545700. Its totient is φ = 569121280.

The previous prime is 1430141189. The next prime is 1430141203. The reversal of 1430141200 is 21410341.

It can be written as a sum of positive squares in 6 ways, for example, as 6739216 + 1423401984 = 2596^2 + 37728^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1430141203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69726 + ... + 87874.

It is an arithmetic number, because the mean of its divisors is an integer number (57559095).

Almost surely, 2^1430141200 is an apocalyptic number.

1430141200 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 1430141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726772850).

1430141200 is an abundant number, since it is smaller than the sum of its proper divisors (2023404500).

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

1430141200 is a wasteful number, since it uses less digits than its factorization.

1430141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18364 (or 18353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1430141200 is about 37817.2077234690. The cubic root of 1430141200 is about 1126.6602515108.

Adding to 1430141200 its reverse (21410341), we get a palindrome (1451551541).

It can be divided in two parts, 1430141 and 200, that added together give a palindrome (1430341).

The spelling of 1430141200 in words is "one billion, four hundred thirty million, one hundred forty-one thousand, two hundred".