1045600527744 has 128 divisors (see below), whose sum is σ = 3086388012000. Its totient is φ = 348486727680.

The previous prime is 1045600527691. The next prime is 1045600527767. The reversal of 1045600527744 is 4477250065401.

1045600527744 is a `hidden beast` number, since 1 + 0 + 4 + 56 + 0 + 0 + 527 + 74 + 4 = 666.

1045600527744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1045600527744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33953634 + ... + 33984414.

Almost surely, 2^{1045600527744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045600527744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543194006000).

1045600527744 is an abundant number, since it is smaller than the sum of its proper divisors (2040787484256).

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

1045600527744 is an equidigital number, since it uses as much as digits as its factorization.

1045600527744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40633 (or 40615 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 1045600527744 in words is "one trillion, forty-five billion, six hundred million, five hundred twenty-seven thousand, seven hundred forty-four".