4105027261440 has 2112 divisors, whose sum is σ = 17774934865920. Its totient is φ = 894786600960.

The previous prime is 4105027261411. The next prime is 4105027261459. The reversal of 4105027261440 is 441627205014.

4105027261440 is a `hidden beast` number, since 4 + 1 + 0 + 502 + 7 + 2 + 6 + 144 + 0 = 666.

It is a super-2 number, since 2×4105027261440² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4105027261395 and 4105027261404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23728481194 + ... + 23728481366.

Almost surely, 2^{4105027261440} is an apocalyptic number.

4105027261440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105027261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8887467432960).

4105027261440 is an abundant number, since it is smaller than the sum of its proper divisors (13669907604480).

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

4105027261440 is a wasteful number, since it uses less digits than its factorization.

4105027261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4105027261440 in words is "four trillion, one hundred five billion, twenty-seven million, two hundred sixty-one thousand, four hundred forty".