1128404739840 has 432 divisors, whose sum is σ = 4224319102080. Its totient is φ = 255946629120.

The previous prime is 1128404739827. The next prime is 1128404739853. The reversal of 1128404739840 is 489374048211.

It is an interprime number because it is at equal distance from previous prime (1128404739827) and next prime (1128404739853).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24626071 + ... + 24671849.

It is an arithmetic number, because the mean of its divisors is an integer number (9778516440).

Almost surely, 2^{1128404739840} is an apocalyptic number.

1128404739840 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 1128404739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112159551040).

1128404739840 is an abundant number, since it is smaller than the sum of its proper divisors (3095914362240).

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

1128404739840 is a wasteful number, since it uses less digits than its factorization.

1128404739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45948 (or 45927 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 1128404739840 in words is "one trillion, one hundred twenty-eight billion, four hundred four million, seven hundred thirty-nine thousand, eight hundred forty".