1129807841472 has 336 divisors, whose sum is σ = 3427043622912. Its totient is φ = 355163719680.

The previous prime is 1129807841453. The next prime is 1129807841483. The reversal of 1129807841472 is 2741487089211.

1129807841472 is a `hidden beast` number, since 1 + 1 + 2 + 98 + 0 + 7 + 84 + 1 + 472 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280974822 + ... + 280978842.

It is an arithmetic number, because the mean of its divisors is an integer number (10199534592).

Almost surely, 2^{1129807841472} is an apocalyptic number.

1129807841472 is a gapful number since it is divisible by the number (12) 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 1129807841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713521811456).

1129807841472 is an abundant number, since it is smaller than the sum of its proper divisors (2297235781440).

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

1129807841472 is a wasteful number, since it uses less digits than its factorization.

1129807841472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1129807841472 in words is "one trillion, one hundred twenty-nine billion, eight hundred seven million, eight hundred forty-one thousand, four hundred seventy-two".