1128416113440 has 576 divisors, whose sum is σ = 5053585904640. Its totient is φ = 222134814720.

The previous prime is 1128416113423. The next prime is 1128416113481. The reversal of 1128416113440 is 443116148211.

1128416113440 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 4 + 1 + 611 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1128416113395 and 1128416113404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1838907 + ... + 2374533.

It is an arithmetic number, because the mean of its divisors is an integer number (8773586640).

Almost surely, 2^{1128416113440} is an apocalyptic number.

1128416113440 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 1128416113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526792952320).

1128416113440 is an abundant number, since it is smaller than the sum of its proper divisors (3925169791200).

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

1128416113440 is a wasteful number, since it uses less digits than its factorization.

1128416113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535685 (or 535674 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1128416113440 in words is "one trillion, one hundred twenty-eight billion, four hundred sixteen million, one hundred thirteen thousand, four hundred forty".