411642775008 has 240 divisors, whose sum is σ = 1225147215600. Its totient is φ = 135576612864.

The previous prime is 411642775001. The next prime is 411642775031. The reversal of 411642775008 is 800577246114.

411642775008 is a `hidden beast` number, since 4 + 11 + 64 + 2 + 77 + 500 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411642775001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102218691 + ... + 102222717.

It is an arithmetic number, because the mean of its divisors is an integer number (5104780065).

Almost surely, 2^411642775008 is an apocalyptic number.

411642775008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411642775008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612573607800).

411642775008 is an abundant number, since it is smaller than the sum of its proper divisors (813504440592).

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

411642775008 is a wasteful number, since it uses less digits than its factorization.

411642775008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 411642775008 in words is "four hundred eleven billion, six hundred forty-two million, seven hundred seventy-five thousand, eight".