416355256125 has 48 divisors (see below), whose sum is σ = 768004476096. Its totient is φ = 216892015200.

The previous prime is 416355256117. The next prime is 416355256129. The reversal of 416355256125 is 521652553614.

416355256125 is a `hidden beast` number, since 4 + 1 + 6 + 3 + 5 + 5 + 25 + 612 + 5 = 666.

It is not a de Polignac number, because 416355256125 - 2³ = 416355256117 is a prime.

It is a super-3 number, since 3×416355256125³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416355256129) 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 47 ways as a sum of consecutive naturals, for example, 4255039 + ... + 4351788.

It is an arithmetic number, because the mean of its divisors is an integer number (16000093252).

Almost surely, 2^416355256125 is an apocalyptic number.

416355256125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416355256125 is a deficient number, since it is larger than the sum of its proper divisors (351649219971).

416355256125 is a wasteful number, since it uses less digits than its factorization.

416355256125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606891 (or 8606878 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 416355256125 in words is "four hundred sixteen billion, three hundred fifty-five million, two hundred fifty-six thousand, one hundred twenty-five".