34441356411 has 224 divisors, whose sum is σ = 69437153280. Its totient is φ = 16533720000.

The previous prime is 34441356409. The next prime is 34441356473. The reversal of 34441356411 is 11465314443.

34441356411 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 1 + 3 + 5 + 641 + 1 = 666.

It is not a de Polignac number, because 34441356411 - 2¹ = 34441356409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34441356401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 45860286 + ... + 45861036.

Almost surely, 2^34441356411 is an apocalyptic number.

34441356411 is an abundant number, since it is smaller than the sum of its proper divisors (34995796869).

34441356411 is a wasteful number, since it uses less digits than its factorization.

34441356411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 834 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 34441356411 in words is "thirty-four billion, four hundred forty-one million, three hundred fifty-six thousand, four hundred eleven".