417042121125 has 32 divisors (see below), whose sum is σ = 793094964480. Its totient is φ = 190647825600.

The previous prime is 417042121003. The next prime is 417042121201. The reversal of 417042121125 is 521121240714.

It is not a de Polignac number, because 417042121125 - 2¹⁰ = 417042120101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417042121092 and 417042121101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79433970 + ... + 79439219.

It is an arithmetic number, because the mean of its divisors is an integer number (24784217640).

Almost surely, 2^417042121125 is an apocalyptic number.

It is an amenable number.

417042121125 is a deficient number, since it is larger than the sum of its proper divisors (376052843355).

417042121125 is a wasteful number, since it uses less digits than its factorization.

417042121125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158873214 (or 158873204 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

Adding to 417042121125 its reverse (521121240714), we get a palindrome (938163361839).

The spelling of 417042121125 in words is "four hundred seventeen billion, forty-two million, one hundred twenty-one thousand, one hundred twenty-five".