409416172381225 has 9 divisors (see below), whose sum is σ = 507676179203767. Its totient is φ = 327532856968840.

The previous prime is 409416172381219. The next prime is 409416172381351. The reversal of 409416172381225 is 522183271614904.

The square root of 409416172381225 is 20234035.

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., 147389822057241 + 262026350323984 = 12140421^2 + 16187228^2 .

It is not a de Polignac number, because 409416172381225 - 2⁵ = 409416172381193 is a prime.

It is a super-3 number, since 3×409416172381225³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99146772 + ... + 103193578.

It is a 1-persistent number, because it is pandigital, but 2⋅409416172381225 = 818832344762450 is not.

Almost surely, 2^{409416172381225} is an apocalyptic number.

409416172381225 is the 20234035-th square number.

409416172381225 is the 10117018-th centered octagonal number.

It is an amenable number.

409416172381225 is a deficient number, since it is larger than the sum of its proper divisors (98260006822542).

409416172381225 is an frugal number, since it uses more digits than its factorization.

409416172381225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093624 (or 4046812 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 409416172381225 in words is "four hundred nine trillion, four hundred sixteen billion, one hundred seventy-two million, three hundred eighty-one thousand, two hundred twenty-five".