1133424344320 has 144 divisors (see below), whose sum is σ = 2834299314000. Its totient is φ = 433718820864.

The previous prime is 1133424344293. The next prime is 1133424344329. The reversal of 1133424344320 is 234434243311.

It can be written as a sum of positive squares in 8 ways, for example, as 82944 + 1133424261376 = 288^2 + 1064624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133424344329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3906016 + ... + 4186144.

It is an arithmetic number, because the mean of its divisors is an integer number (19682634125).

Almost surely, 2^{1133424344320} is an apocalyptic number.

1133424344320 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 1133424344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417149657000).

1133424344320 is an abundant number, since it is smaller than the sum of its proper divisors (1700874969680).

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

1133424344320 is a wasteful number, since it uses less digits than its factorization.

1133424344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280288 (or 280274 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Subtracting from 1133424344320 its product of nonzero digits (82944), we obtain a square (1133424261376 = 1064624²).

Adding to 1133424344320 its reverse (234434243311), we get a palindrome (1367858587631).

The spelling of 1133424344320 in words is "one trillion, one hundred thirty-three billion, four hundred twenty-four million, three hundred forty-four thousand, three hundred twenty".