411761968128 has 462 divisors, whose sum is σ = 1435734394926. Its totient is φ = 117635825664.

The previous prime is 411761968109. The next prime is 411761968129. The reversal of 411761968128 is 821869167114.

411761968128 is a `hidden beast` number, since 4 + 1 + 1 + 7 + 619 + 6 + 8 + 12 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 395630936064 + 16131032064 = 628992^2 + 127008^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (411761968129) 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 41 ways as a sum of consecutive naturals, for example, 36572676 + ... + 36583932.

Almost surely, 2^411761968128 is an apocalyptic number.

411761968128 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 411761968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717867197463).

411761968128 is an abundant number, since it is smaller than the sum of its proper divisors (1023972426798).

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

411761968128 is an equidigital number, since it uses as much as digits as its factorization.

411761968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11309 (or 11269 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 411761968128 in words is "four hundred eleven billion, seven hundred sixty-one million, nine hundred sixty-eight thousand, one hundred twenty-eight".