1335223440 has 200 divisors, whose sum is σ = 4763619960. Its totient is φ = 346374144.

The previous prime is 1335223433. The next prime is 1335223447. The reversal of 1335223440 is 443225331.

1335223440 is a `hidden beast` number, since 133 + 522 + 3 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1335223433) and next prime (1335223447).

It can be written as a sum of positive squares in 4 ways, for example, as 180311184 + 1154912256 = 13428^2 + 33984^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335223447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236976 + ... + 242544.

Almost surely, 2^1335223440 is an apocalyptic number.

1335223440 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 1335223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381809980).

1335223440 is an abundant number, since it is smaller than the sum of its proper divisors (3428396520).

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

1335223440 is a wasteful number, since it uses less digits than its factorization.

1335223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 1335223440 is about 36540.7093527206. The cubic root of 1335223440 is about 1101.1622536307.

Adding to 1335223440 its reverse (443225331), we get a palindrome (1778448771).

The spelling of 1335223440 in words is "one billion, three hundred thirty-five million, two hundred twenty-three thousand, four hundred forty".