1134181440 has 840 divisors, whose sum is σ = 5045293440. Its totient is φ = 240371712.

The previous prime is 1134181439. The next prime is 1134181511. The reversal of 1134181440 is 441814311.

1134181440 is a `hidden beast` number, since 11 + 34 + 181 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24131497 + ... + 24131543.

Almost surely, 2^1134181440 is an apocalyptic number.

1134181440 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 1134181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522646720).

1134181440 is an abundant number, since it is smaller than the sum of its proper divisors (3911112000).

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

1134181440 is a wasteful number, since it uses less digits than its factorization.

1134181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1134181440 is about 33677.6103665328. The cubic root of 1134181440 is about 1042.8636069263.

Adding to 1134181440 its reverse (441814311), we get a palindrome (1575995751).

The spelling of 1134181440 in words is "one billion, one hundred thirty-four million, one hundred eighty-one thousand, four hundred forty".