1134661440 has 112 divisors (see below), whose sum is σ = 3930091200. Its totient is φ = 275066880.

The previous prime is 1134661439. The next prime is 1134661459. The reversal of 1134661440 is 441664311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1134661398 and 1134661407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43165 + ... + 64284.

It is an arithmetic number, because the mean of its divisors is an integer number (35090100).

Almost surely, 2^1134661440 is an apocalyptic number.

1134661440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134661440 is an abundant number, since it is smaller than the sum of its proper divisors (2795429760).

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

1134661440 is a wasteful number, since it uses less digits than its factorization.

1134661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107480 (or 107470 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1134661440 is about 33684.7360090591. The cubic root of 1134661440 is about 1043.0107038880.

The spelling of 1134661440 in words is "one billion, one hundred thirty-four million, six hundred sixty-one thousand, four hundred forty".