1331146568440 has 128 divisors (see below), whose sum is σ = 3424725360000. Its totient is φ = 461298843648.

The previous prime is 1331146568431. The next prime is 1331146568441. The reversal of 1331146568440 is 448656411331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331146568441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963836 + ... + 3383284.

It is an arithmetic number, because the mean of its divisors is an integer number (26755666875).

Almost surely, 2^{1331146568440} is an apocalyptic number.

1331146568440 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 1331146568440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712362680000).

1331146568440 is an abundant number, since it is smaller than the sum of its proper divisors (2093578791560).

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

1331146568440 is a wasteful number, since it uses less digits than its factorization.

1331146568440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419849 (or 419845 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 1331146568440 in words is "one trillion, three hundred thirty-one billion, one hundred forty-six million, five hundred sixty-eight thousand, four hundred forty".