75939376041 has 45 divisors (see below), whose sum is σ = 115411251879. Its totient is φ = 49761508896.

The previous prime is 75939376033. The next prime is 75939376049. The reversal of 75939376041 is 14067393957.

It is a happy number.

The square root of 75939376041 is 275571.

It is a perfect power (a square), and thus also a powerful number.

75939376041 is a `hidden beast` number, since 7 + 593 + 9 + 3 + 7 + 6 + 0 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (75939376033) and next prime (75939376049).

It can be written as a sum of positive squares in only one way, i.e., 65676875625 + 10262500416 = 256275^2 + 101304^2 .

It is not a de Polignac number, because 75939376041 - 2³ = 75939376033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75939376049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 166169085 + ... + 166169541.

Almost surely, 2^75939376041 is an apocalyptic number.

75939376041 is the 275571-st square number.

75939376041 is the 137786-th centered octagonal number.

It is an amenable number.

75939376041 is a deficient number, since it is larger than the sum of its proper divisors (39471875838).

75939376041 is an frugal number, since it uses more digits than its factorization.

75939376041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 75939376041 in words is "seventy-five billion, nine hundred thirty-nine million, three hundred seventy-six thousand, forty-one".