1129403776 has 128 divisors (see below), whose sum is σ = 2519481600. Its totient is φ = 501811200.

The previous prime is 1129403701. The next prime is 1129403777. The reversal of 1129403776 is 6773049211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129403777) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3411931 + ... + 3412261.

It is an arithmetic number, because the mean of its divisors is an integer number (19683450).

Almost surely, 2^1129403776 is an apocalyptic number.

1129403776 is a gapful number since it is divisible by the number (16) 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 1129403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259740800).

1129403776 is an abundant number, since it is smaller than the sum of its proper divisors (1390077824).

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

1129403776 is a wasteful number, since it uses less digits than its factorization.

1129403776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 1129403776 is about 33606.6031606885. The cubic root of 1129403776 is about 1041.3972147375.

The spelling of 1129403776 in words is "one billion, one hundred twenty-nine million, four hundred three thousand, seven hundred seventy-six".