4101291818325 has 180 divisors, whose sum is σ = 8491736339328. Its totient is φ = 1953960278400.

The previous prime is 4101291818231. The next prime is 4101291818329. The reversal of 4101291818325 is 5238181921014.

4101291818325 is a `hidden beast` number, since 410 + 1 + 29 + 18 + 183 + 25 = 666.

It is not a de Polignac number, because 4101291818325 - 2¹² = 4101291814229 is a prime.

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 (4101291818329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 10415682 + ... + 10802268.

Almost surely, 2^{4101291818325} is an apocalyptic number.

4101291818325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4101291818325 is an abundant number, since it is smaller than the sum of its proper divisors (4390444521003).

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

4101291818325 is a wasteful number, since it uses less digits than its factorization.

4101291818325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386666 (or 386639 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 4101291818325 in words is "four trillion, one hundred one billion, two hundred ninety-one million, eight hundred eighteen thousand, three hundred twenty-five".