1040075715825 has 36 divisors (see below), whose sum is σ = 1863584009820. Its totient is φ = 554500744320.

The previous prime is 1040075715823. The next prime is 1040075715829. The reversal of 1040075715825 is 5285175700401.

1040075715825 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 7 + 571 + 58 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 239294137329 + 800781578496 = 489177^2 + 894864^2 .

It is not a de Polignac number, because 1040075715825 - 2¹ = 1040075715823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1040075715821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252330 + ... + 1464179.

It is an arithmetic number, because the mean of its divisors is an integer number (51766222495).

Almost surely, 2^{1040075715825} is an apocalyptic number.

1040075715825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1040075715825 is a deficient number, since it is larger than the sum of its proper divisors (823508293995).

1040075715825 is a wasteful number, since it uses less digits than its factorization.

1040075715825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719218 (or 1719210 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 1040075715825 in words is "one trillion, forty billion, seventy-five million, seven hundred fifteen thousand, eight hundred twenty-five".