75705427041040 has 40 divisors (see below), whose sum is σ = 176015480781528. Its totient is φ = 30282108380160.

The previous prime is 75705427041019. The next prime is 75705427041053. The reversal of 75705427041040 is 4014072450757.

It can be written as a sum of positive squares in 4 ways, for example, as 31737494028816 + 43967933012224 = 5633604^2 + 6630832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71634870 + ... + 72684010.

Almost surely, 2^{75705427041040} is an apocalyptic number.

It is an amenable number.

75705427041040 is an abundant number, since it is smaller than the sum of its proper divisors (100310053740488).

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

75705427041040 is a wasteful number, since it uses less digits than its factorization.

75705427041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951147 (or 1951141 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 46.

Adding to 75705427041040 its reverse (4014072450757), we get a palindrome (79719499491797).

The spelling of 75705427041040 in words is "seventy-five trillion, seven hundred five billion, four hundred twenty-seven million, forty-one thousand, forty".