1331404254400 has 168 divisors, whose sum is σ = 3581893623600. Its totient is φ = 483065856000.

The previous prime is 1331404254353. The next prime is 1331404254407. The reversal of 1331404254400 is 44524041331.

It is not an unprimeable number, because it can be changed into a prime (1331404254407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7818160 + ... + 7986640.

Almost surely, 2^{1331404254400} is an apocalyptic number.

1331404254400 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 1331404254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790946811800).

1331404254400 is an abundant number, since it is smaller than the sum of its proper divisors (2250489369200).

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

1331404254400 is a wasteful number, since it uses less digits than its factorization.

1331404254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168963 (or 168948 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 1331404254400 its reverse (44524041331), we get a palindrome (1375928295731).

The spelling of 1331404254400 in words is "one trillion, three hundred thirty-one billion, four hundred four million, two hundred fifty-four thousand, four hundred".