1334333440 has 104 divisors (see below), whose sum is σ = 3493690848. Its totient is φ = 485130240.

The previous prime is 1334333437. The next prime is 1334333443. The reversal of 1334333440 is 443334331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1334333437) and next prime (1334333443).

It is a super-3 number, since 3×1334333440³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1334333399 and 1334333408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334333443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222319 + ... + 228241.

Almost surely, 2^1334333440 is an apocalyptic number.

1334333440 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 1334333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746845424).

1334333440 is an abundant number, since it is smaller than the sum of its proper divisors (2159357408).

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

1334333440 is an equidigital number, since it uses as much as digits as its factorization.

1334333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

The square root of 1334333440 is about 36528.5291245076. The cubic root of 1334333440 is about 1100.9175374766.

Adding to 1334333440 its reverse (443334331), we get a palindrome (1777667771).

The spelling of 1334333440 in words is "one billion, three hundred thirty-four million, three hundred thirty-three thousand, four hundred forty".