4105050503040 has 320 divisors, whose sum is σ = 14673070566000. Its totient is φ = 1093694939136.

The previous prime is 4105050503023. The next prime is 4105050503077. The reversal of 4105050503040 is 403050505014.

4105050503040 is a `hidden beast` number, since 4 + 105 + 0 + 50 + 503 + 0 + 4 + 0 = 666.

4105050503040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4105050502995 and 4105050503013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58492291 + ... + 58562429.

Almost surely, 2^{4105050503040} is an apocalyptic number.

4105050503040 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 4105050503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336535283000).

4105050503040 is an abundant number, since it is smaller than the sum of its proper divisors (10568020062960).

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

4105050503040 is a wasteful number, since it uses less digits than its factorization.

4105050503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71299 (or 71278 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 4105050503040 in words is "four trillion, one hundred five billion, fifty million, five hundred three thousand, forty".