1195416409201 has 27 divisors (see below), whose sum is σ = 1453889513433. Its totient is φ = 979948634280.

The previous prime is 1195416409169. The next prime is 1195416409211. The reversal of 1195416409201 is 1029046145911.

It is a happy number.

The square root of 1195416409201 is 1093351.

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

It is not a de Polignac number, because 1195416409201 - 2⁵ = 1195416409169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1195416409211) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 176026116 + ... + 176032906.

Almost surely, 2^{1195416409201} is an apocalyptic number.

1195416409201 is the 1093351-st square number.

1195416409201 is the 546676-th centered octagonal number.

It is an amenable number.

1195416409201 is a deficient number, since it is larger than the sum of its proper divisors (258473104232).

1195416409201 is an frugal number, since it uses more digits than its factorization.

1195416409201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13642 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 1195416409201 in words is "one trillion, one hundred ninety-five billion, four hundred sixteen million, four hundred nine thousand, two hundred one".