1134001440 has 288 divisors, whose sum is σ = 4547140416. Its totient is φ = 253716480.

The previous prime is 1134001399. The next prime is 1134001457. The reversal of 1134001440 is 441004311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 203167 + ... + 208673.

It is an arithmetic number, because the mean of its divisors is an integer number (15788682).

Almost surely, 2^1134001440 is an apocalyptic number.

1134001440 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 1134001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273570208).

1134001440 is an abundant number, since it is smaller than the sum of its proper divisors (3413138976).

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

1134001440 is a wasteful number, since it uses less digits than its factorization.

1134001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1134001440 is about 33674.9378618580. The cubic root of 1134001440 is about 1042.8084348660.

Adding to 1134001440 its reverse (441004311), we get a palindrome (1575005751).

The spelling of 1134001440 in words is "one billion, one hundred thirty-four million, one thousand, four hundred forty".