4105133792256 has 704 divisors, whose sum is σ = 13809291264000. Its totient is φ = 1057096728576.

The previous prime is 4105133792219. The next prime is 4105133792257. The reversal of 4105133792256 is 6522973315014.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105133792257) 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 63 ways as a sum of consecutive naturals, for example, 1346385420 + ... + 1346388468.

Almost surely, 2^{4105133792256} 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 4105133792256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904645632000).

4105133792256 is an abundant number, since it is smaller than the sum of its proper divisors (9704157471744).

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

4105133792256 is a wasteful number, since it uses less digits than its factorization.

4105133792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 4105133792256 in words is "four trillion, one hundred five billion, one hundred thirty-three million, seven hundred ninety-two thousand, two hundred fifty-six".