1134413440000 has 220 divisors, whose sum is σ = 2838075825024. Its totient is φ = 453071872000.

The previous prime is 1134413439917. The next prime is 1134413440031. The reversal of 1134413440000 is 443144311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 705919197 + ... + 705920803.

Almost surely, 2^{1134413440000} is an apocalyptic number.

1134413440000 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 1134413440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419037912512).

1134413440000 is an abundant number, since it is smaller than the sum of its proper divisors (1703662385024).

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

1134413440000 is an equidigital number, since it uses as much as digits as its factorization.

1134413440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1134413440000 its reverse (443144311), we get a palindrome (1134856584311).

The spelling of 1134413440000 in words is "one trillion, one hundred thirty-four billion, four hundred thirteen million, four hundred forty thousand".