1126024009344 has 192 divisors, whose sum is σ = 3694767116040. Its totient is φ = 326088327168.

The previous prime is 1126024009303. The next prime is 1126024009351. The reversal of 1126024009344 is 4439004206211.

1126024009344 is a `hidden beast` number, since 1 + 1 + 2 + 602 + 4 + 0 + 0 + 9 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 831175009344 + 294849000000 = 911688^2 + 543000^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 1126024009299 and 1126024009308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956837 + ... + 2466020.

Almost surely, 2^{1126024009344} is an apocalyptic number.

It is an amenable number.

1126024009344 is an abundant number, since it is smaller than the sum of its proper divisors (2568743106696).

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

1126024009344 is a wasteful number, since it uses less digits than its factorization.

1126024009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422907 (or 4422892 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1126024009344 in words is "one trillion, one hundred twenty-six billion, twenty-four million, nine thousand, three hundred forty-four".