1331404131420 has 144 divisors (see below), whose sum is σ = 4407836221152. Its totient is φ = 322610872320.

The previous prime is 1331404131397. The next prime is 1331404131437. The reversal of 1331404131420 is 241314041331.

1331404131420 is a `hidden beast` number, since 1 + 33 + 140 + 41 + 31 + 420 = 666.

It is a super-2 number, since 2×1331404131420² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 4024624 + ... + 4342856.

It is an arithmetic number, because the mean of its divisors is an integer number (30609973758).

Almost surely, 2^{1331404131420} is an apocalyptic number.

1331404131420 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 1331404131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203918110576).

1331404131420 is an abundant number, since it is smaller than the sum of its proper divisors (3076432089732).

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

1331404131420 is a wasteful number, since it uses less digits than its factorization.

1331404131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320372 (or 320367 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1331404131420 its reverse (241314041331), we get a palindrome (1572718172751).

The spelling of 1331404131420 in words is "one trillion, three hundred thirty-one billion, four hundred four million, one hundred thirty-one thousand, four hundred twenty".