4105252657152 has 288 divisors, whose sum is σ = 12120612940800. Its totient is φ = 1338017759232.

The previous prime is 4105252657127. The next prime is 4105252657169. The reversal of 4105252657152 is 2517562525014.

4105252657152 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 2 + 5 + 26 + 571 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4105252657152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4105252657098 and 4105252657107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1402544713 + ... + 1402547639.

It is an arithmetic number, because the mean of its divisors is an integer number (42085461600).

Almost surely, 2^{4105252657152} 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 4105252657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060306470400).

4105252657152 is an abundant number, since it is smaller than the sum of its proper divisors (8015360283648).

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

4105252657152 is a wasteful number, since it uses less digits than its factorization.

4105252657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 4105252657152 in words is "four trillion, one hundred five billion, two hundred fifty-two million, six hundred fifty-seven thousand, one hundred fifty-two".