4105969920 has 864 divisors, whose sum is σ = 17056771200. Its totient is φ = 931627008.

The previous prime is 4105969849. The next prime is 4105969981. The reversal of 4105969920 is 299695014.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110972142 + ... + 110972178.

Almost surely, 2^4105969920 is an apocalyptic number.

4105969920 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 4105969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528385600).

4105969920 is an abundant number, since it is smaller than the sum of its proper divisors (12950801280).

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

4105969920 is a wasteful number, since it uses less digits than its factorization.

4105969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 4105969920 is about 64077.8426603143. The cubic root of 4105969920 is about 1601.2971148157.

The spelling of 4105969920 in words is "four billion, one hundred five million, nine hundred sixty-nine thousand, nine hundred twenty".