1134443323440 has 360 divisors, whose sum is σ = 4455083213568. Its totient is φ = 257942200320.

The previous prime is 1134443323399. The next prime is 1134443323469. The reversal of 1134443323440 is 443233444311.

1134443323440 is a `hidden beast` number, since 1 + 1 + 344 + 43 + 3 + 234 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1134443323395 and 1134443323404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6654304 + ... + 6822656.

Almost surely, 2^{1134443323440} is an apocalyptic number.

1134443323440 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 1134443323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227541606784).

1134443323440 is an abundant number, since it is smaller than the sum of its proper divisors (3320639890128).

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

1134443323440 is a wasteful number, since it uses less digits than its factorization.

1134443323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168577 (or 168561 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 1134443323440 its reverse (443233444311), we get a palindrome (1577676767751).

The spelling of 1134443323440 in words is "one trillion, one hundred thirty-four billion, four hundred forty-three million, three hundred twenty-three thousand, four hundred forty".