1331442411040 has 192 divisors, whose sum is σ = 3772163727360. Its totient is φ = 434206080000.

The previous prime is 1331442411023. The next prime is 1331442411041. The reversal of 1331442411040 is 401142441331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1331442411041) 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, 4466665 + ... + 4755415.

It is an arithmetic number, because the mean of its divisors is an integer number (19646686080).

Almost surely, 2^{1331442411040} is an apocalyptic number.

1331442411040 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 1331442411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886081863680).

1331442411040 is an abundant number, since it is smaller than the sum of its proper divisors (2440721316320).

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

1331442411040 is a wasteful number, since it uses less digits than its factorization.

1331442411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288975 (or 288967 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1331442411040 its reverse (401142441331), we get a palindrome (1732584852371).

The spelling of 1331442411040 in words is "one trillion, three hundred thirty-one billion, four hundred forty-two million, four hundred eleven thousand, forty".