32417642401 has 9 divisors (see below), whose sum is σ = 32571227353. Its totient is φ = 32264780800.

The previous prime is 32417642371. The next prime is 32417642407. The reversal of 32417642401 is 10424671423.

The square root of 32417642401 is 180049.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16602064801 + 15815577600 = 128849^2 + 125760^2 .

It is not a de Polignac number, because 32417642401 - 2¹⁹ = 32417118113 is a prime.

It is a super-2 number, since 2×32417642401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32417642407) 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, 72199425 + ... + 72199873.

Almost surely, 2^32417642401 is an apocalyptic number.

32417642401 is the 180049-th square number.

32417642401 is the 90025-th centered octagonal number.

It is an amenable number.

32417642401 is a deficient number, since it is larger than the sum of its proper divisors (153584952).

32417642401 is an frugal number, since it uses more digits than its factorization.

32417642401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 32417642401 in words is "thirty-two billion, four hundred seventeen million, six hundred forty-two thousand, four hundred one".