1333431330440 has 192 divisors, whose sum is σ = 3324835080000. Its totient is φ = 480913804800.

The previous prime is 1333431330433. The next prime is 1333431330481. The reversal of 1333431330440 is 440331343331.

It is a super-2 number, since 2×1333431330440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1333431330397 and 1333431330406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844477571 + ... + 844479149.

It is an arithmetic number, because the mean of its divisors is an integer number (17316849375).

Almost surely, 2^{1333431330440} is an apocalyptic number.

1333431330440 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 1333431330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662417540000).

1333431330440 is an abundant number, since it is smaller than the sum of its proper divisors (1991403749560).

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

1333431330440 is a wasteful number, since it uses less digits than its factorization.

1333431330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 1333431330440 its reverse (440331343331), we get a palindrome (1773762673771).

The spelling of 1333431330440 in words is "one trillion, three hundred thirty-three billion, four hundred thirty-one million, three hundred thirty thousand, four hundred forty".