75142042739401 has 9 divisors (see below), whose sum is σ = 82594250961159. Its totient is φ = 68310861260400.

The previous prime is 75142042739389. The next prime is 75142042739417. The reversal of 75142042739401 is 10493724024157.

The square root of 75142042739401 is 8668451.

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

It can be written as a sum of positive squares in only one way, i.e., 19441494381001 + 55700548358400 = 4409251^2 + 7463280^2 .

It is not a de Polignac number, because 75142042739401 - 2¹⁹ = 75142042215113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75142042731401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94958941 + ... + 95746981.

Almost surely, 2^{75142042739401} is an apocalyptic number.

75142042739401 is the 8668451-st square number.

75142042739401 is the 4334226-th centered octagonal number.

It is an amenable number.

75142042739401 is a deficient number, since it is larger than the sum of its proper divisors (7452208221758).

75142042739401 is an frugal number, since it uses more digits than its factorization.

75142042739401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576104 (or 788052 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 75142042739401 in words is "seventy-five trillion, one hundred forty-two billion, forty-two million, seven hundred thirty-nine thousand, four hundred one".