1430413440 has 128 divisors (see below), whose sum is σ = 4571640000. Its totient is φ = 380424192.

The previous prime is 1430413403. The next prime is 1430413459. The reversal of 1430413440 is 443140341.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1430413440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957334 + ... + 958826.

Almost surely, 2^1430413440 is an apocalyptic number.

1430413440 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 1430413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285820000).

1430413440 is an abundant number, since it is smaller than the sum of its proper divisors (3141226560).

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

1430413440 is a wasteful number, since it uses less digits than its factorization.

1430413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1430413440 is about 37820.8069718244. The cubic root of 1430413440 is about 1126.7317368827.

Adding to 1430413440 its reverse (443140341), we get a palindrome (1873553781).

The spelling of 1430413440 in words is "one billion, four hundred thirty million, four hundred thirteen thousand, four hundred forty".