1430144640 has 128 divisors (see below), whose sum is σ = 5065156800. Its totient is φ = 381367296.

The previous prime is 1430144621. The next prime is 1430144641. The reversal of 1430144640 is 464410341.

1430144640 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 14 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1430144641) 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 15 ways as a sum of consecutive naturals, for example, 24102 + ... + 58661.

Almost surely, 2^1430144640 is an apocalyptic number.

1430144640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430144640 is an abundant number, since it is smaller than the sum of its proper divisors (3635012160).

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

1430144640 is an equidigital number, since it uses as much as digits as its factorization.

1430144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82791 (or 82773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1430144640 is about 37817.2532053823. The cubic root of 1430144640 is about 1126.6611548501.

Adding to 1430144640 its reverse (464410341), we get a palindrome (1894554981).

It can be divided in two parts, 1430 and 144640, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 1430144640 in words is "one billion, four hundred thirty million, one hundred forty-four thousand, six hundred forty".