1129971144960 has 1728 divisors, whose sum is σ = 5015450119680. Its totient is φ = 228898897920.

The previous prime is 1129971144959. The next prime is 1129971144997. The reversal of 1129971144960 is 694411799211.

It is a happy number.

1129971144960 is a `hidden beast` number, since 1 + 129 + 9 + 7 + 11 + 449 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1129971144897 and 1129971144906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1709487030 + ... + 1709487690.

It is an arithmetic number, because the mean of its divisors is an integer number (2902459560).

Almost surely, 2^{1129971144960} is an apocalyptic number.

1129971144960 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 1129971144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507725059840).

1129971144960 is an abundant number, since it is smaller than the sum of its proper divisors (3885478974720).

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

1129971144960 is a wasteful number, since it uses less digits than its factorization.

1129971144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1129971144960 in words is "one trillion, one hundred twenty-nine billion, nine hundred seventy-one million, one hundred forty-four thousand, nine hundred sixty".