1331201335440 has 40 divisors (see below), whose sum is σ = 4126724140608. Its totient is φ = 354987022720.

The previous prime is 1331201335417. The next prime is 1331201335463. The reversal of 1331201335440 is 445331021331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1331201335417) and next prime (1331201335463).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1331201335398 and 1331201335407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2773335876 + ... + 2773336355.

Almost surely, 2^{1331201335440} is an apocalyptic number.

1331201335440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331201335440 is an abundant number, since it is smaller than the sum of its proper divisors (2795522805168).

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

1331201335440 is a wasteful number, since it uses less digits than its factorization.

1331201335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546672247 (or 5546672241 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1331201335440 its reverse (445331021331), we get a palindrome (1776532356771).

The spelling of 1331201335440 in words is "one trillion, three hundred thirty-one billion, two hundred one million, three hundred thirty-five thousand, four hundred forty".