4131730616625 has 32 divisors (see below), whose sum is σ = 7639110835200. Its totient is φ = 2203589660400.

The previous prime is 4131730616623. The next prime is 4131730616653. The reversal of 4131730616625 is 5266160371314.

4131730616625 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 7 + 3 + 0 + 6 + 16 + 625 = 666.

4131730616625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4131730616625 - 2¹ = 4131730616623 is a prime.

It is a super-3 number, since 3×4131730616625³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4131730616623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612104865 + ... + 612111614.

It is an arithmetic number, because the mean of its divisors is an integer number (238722213600).

Almost surely, 2^{4131730616625} is an apocalyptic number.

4131730616625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4131730616625 is a deficient number, since it is larger than the sum of its proper divisors (3507380218575).

4131730616625 is a wasteful number, since it uses less digits than its factorization.

4131730616625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224216503 (or 1224216487 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 4131730616625 its reverse (5266160371314), we get a palindrome (9397890987939).

The spelling of 4131730616625 in words is "four trillion, one hundred thirty-one billion, seven hundred thirty million, six hundred sixteen thousand, six hundred twenty-five".