1131433410420 has 144 divisors (see below), whose sum is σ = 3444126718032. Its totient is φ = 300652185600.

The previous prime is 1131433410353. The next prime is 1131433410463. The reversal of 1131433410420 is 240143341311.

1131433410420 is a `hidden beast` number, since 1 + 1 + 314 + 3 + 341 + 0 + 4 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 424199505636 + 707233904784 = 651306^2 + 840972^2 .

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, 87342664 + ... + 87355616.

It is an arithmetic number, because the mean of its divisors is an integer number (23917546653).

Almost surely, 2^{1131433410420} is an apocalyptic number.

1131433410420 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 1131433410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722063359016).

1131433410420 is an abundant number, since it is smaller than the sum of its proper divisors (2312693307612).

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

1131433410420 is a wasteful number, since it uses less digits than its factorization.

1131433410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14642 (or 14637 counting only the distinct ones).

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

Adding to 1131433410420 its reverse (240143341311), we get a palindrome (1371576751731).

The spelling of 1131433410420 in words is "one trillion, one hundred thirty-one billion, four hundred thirty-three million, four hundred ten thousand, four hundred twenty".