417273114525696 has 2565 divisors, whose sum is σ = 1533226930217829. Its totient is φ = 112954599014400.

The previous prime is 417273114525691. The next prime is 417273114525739. The reversal of 417273114525696 is 696525411372714.

The square root of 417273114525696 is 20427264.

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

417273114525696 is a `hidden beast` number, since 4 + 1 + 7 + 2 + 7 + 3 + 1 + 14 + 52 + 569 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61726792089600 + 355546322436096 = 7856640^2 + 18855936^2 .

It is a super-2 number, since 2×417273114525696² (a number of 30 digits) contains 22 as substring.

Its product of digits (76204800) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (417273114525691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13460423049201 + ... + 13460423049231.

Almost surely, 2^{417273114525696} is an apocalyptic number.

417273114525696 is the 20427264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417273114525696

417273114525696 is an abundant number, since it is smaller than the sum of its proper divisors (1115953815692133).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417273114525696 is an frugal number, since it uses more digits than its factorization.

417273114525696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 60 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 417273114525696 in words is "four hundred seventeen trillion, two hundred seventy-three billion, one hundred fourteen million, five hundred twenty-five thousand, six hundred ninety-six".