411830256825 has 288 divisors, whose sum is σ = 913144233600. Its totient is φ = 180761518080.

The previous prime is 411830256823. The next prime is 411830256839. The reversal of 411830256825 is 528652038114.

411830256825 is a `hidden beast` number, since 4 + 1 + 1 + 83 + 0 + 2 + 568 + 2 + 5 = 666.

It is not a de Polignac number, because 411830256825 - 2¹ = 411830256823 is a prime.

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 (411830256823) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36840637 + ... + 36851813.

It is an arithmetic number, because the mean of its divisors is an integer number (3170639700).

Almost surely, 2^411830256825 is an apocalyptic number.

411830256825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

411830256825 is an abundant number, since it is smaller than the sum of its proper divisors (501313976775).

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

411830256825 is a wasteful number, since it uses less digits than its factorization.

411830256825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11258 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 411830256825 in words is "four hundred eleven billion, eight hundred thirty million, two hundred fifty-six thousand, eight hundred twenty-five".