1326093440 has 256 divisors, whose sum is σ = 3833568000. Its totient is φ = 429047808.

The previous prime is 1326093421. The next prime is 1326093493. The reversal of 1326093440 is 443906231.

It is a super-2 number, since 2×1326093440² = 3517047623222067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1326093397 and 1326093406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7665194 + ... + 7665366.

It is an arithmetic number, because the mean of its divisors is an integer number (14974875).

Almost surely, 2^1326093440 is an apocalyptic number.

1326093440 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 1326093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916784000).

1326093440 is an abundant number, since it is smaller than the sum of its proper divisors (2507474560).

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

1326093440 is a wasteful number, since it uses less digits than its factorization.

1326093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 1326093440 is about 36415.5659025093. The cubic root of 1326093440 is about 1098.6466662502.

Adding to 1326093440 its reverse (443906231), we get a palindrome (1769999671).

The spelling of 1326093440 in words is "one billion, three hundred twenty-six million, ninety-three thousand, four hundred forty".