841311124416 has 672 divisors, whose sum is σ = 2998744320000. Its totient is φ = 224761485312.

The previous prime is 841311124403. The next prime is 841311124439. The reversal of 841311124416 is 614421113148.

841311124416 is a `hidden beast` number, since 84 + 131 + 1 + 1 + 2 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×841311124416² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 296548150 + ... + 296550986.

Almost surely, 2^841311124416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841311124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499372160000).

841311124416 is an abundant number, since it is smaller than the sum of its proper divisors (2157433195584).

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

841311124416 is a wasteful number, since it uses less digits than its factorization.

841311124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2947 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 841311124416 in words is "eight hundred forty-one billion, three hundred eleven million, one hundred twenty-four thousand, four hundred sixteen".