1093129440 has 192 divisors, whose sum is σ = 3828529152. Its totient is φ = 260352000.

The previous prime is 1093129423. The next prime is 1093129459. The reversal of 1093129440 is 449213901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190615 + ... + 196265.

It is an arithmetic number, because the mean of its divisors is an integer number (19940256).

Almost surely, 2^1093129440 is an apocalyptic number.

1093129440 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 1093129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914264576).

1093129440 is an abundant number, since it is smaller than the sum of its proper divisors (2735399712).

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

1093129440 is a wasteful number, since it uses less digits than its factorization.

1093129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5705 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1093129440 is about 33062.5080718327. The cubic root of 1093129440 is about 1030.1264305795.

The spelling of 1093129440 in words is "one billion, ninety-three million, one hundred twenty-nine thousand, four hundred forty".