4133411341020 has 288 divisors, whose sum is σ = 13821223416000. Its totient is φ = 993452802048.

The previous prime is 4133411341019. The next prime is 4133411341049. The reversal of 4133411341020 is 201431143314.

4133411341020 is a `hidden beast` number, since 4 + 133 + 4 + 113 + 410 + 2 + 0 = 666.

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, 415455006 + ... + 415464954.

Almost surely, 2^{4133411341020} 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 4133411341020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910611708000).

4133411341020 is an abundant number, since it is smaller than the sum of its proper divisors (9687812074980).

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

4133411341020 is a wasteful number, since it uses less digits than its factorization.

4133411341020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14149 (or 14144 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4133411341020 its reverse (201431143314), we get a palindrome (4334842484334).

The spelling of 4133411341020 in words is "four trillion, one hundred thirty-three billion, four hundred eleven million, three hundred forty-one thousand, twenty".