4105233990 has 288 divisors, whose sum is σ = 12943004256. Its totient is φ = 889989120.

The previous prime is 4105233971. The next prime is 4105233991. The reversal of 4105233990 is 993325014.

It is a happy number.

4105233990 is a `hidden beast` number, since 4 + 10 + 523 + 39 + 90 = 666.

4105233990 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4105233990² = 33705892225302640200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105233991) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17618914 + ... + 17619146.

It is an arithmetic number, because the mean of its divisors is an integer number (44940987).

Almost surely, 2^4105233990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105233990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471502128).

4105233990 is an abundant number, since it is smaller than the sum of its proper divisors (8837770266).

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

4105233990 is a wasteful number, since it uses less digits than its factorization.

4105233990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4105233990 is about 64072.0999343708. The cubic root of 4105233990 is about 1601.2014400607.

The spelling of 4105233990 in words is "four billion, one hundred five million, two hundred thirty-three thousand, nine hundred ninety".