1426360320 has 768 divisors, whose sum is σ = 6415718400. Its totient is φ = 291962880.

The previous prime is 1426360319. The next prime is 1426360321. The reversal of 1426360320 is 230636241.

1426360320 is a `hidden beast` number, since 1 + 4 + 2 + 636 + 0 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1426360319) and next prime (1426360321).

It is a tau number, because it is divible by the number of its divisors (768).

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 (1426360321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21288927 + ... + 21288993.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^1426360320 is an apocalyptic number.

1426360320 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 1426360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207859200).

1426360320 is an abundant number, since it is smaller than the sum of its proper divisors (4989358080).

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

1426360320 is a wasteful number, since it uses less digits than its factorization.

1426360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 1426360320 is about 37767.1857569504. The cubic root of 1426360320 is about 1125.6665205890. Note that the first 3 decimals are identical.

Adding to 1426360320 its reverse (230636241), we get a palindrome (1656996561).

The spelling of 1426360320 in words is "one billion, four hundred twenty-six million, three hundred sixty thousand, three hundred twenty".