4111441920 has 336 divisors, whose sum is σ = 15027798240. Its totient is φ = 1036910592.

The previous prime is 4111441897. The next prime is 4111441927. The reversal of 4111441920 is 291441114.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111441927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7003867 + ... + 7004453.

It is an arithmetic number, because the mean of its divisors is an integer number (44725590).

Almost surely, 2^4111441920 is an apocalyptic number.

4111441920 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 4111441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513899120).

4111441920 is an abundant number, since it is smaller than the sum of its proper divisors (10916356320).

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

4111441920 is a wasteful number, since it uses less digits than its factorization.

4111441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4111441920 is about 64120.5265106268. The cubic root of 4111441920 is about 1602.0081452077.

The spelling of 4111441920 in words is "four billion, one hundred eleven million, four hundred forty-one thousand, nine hundred twenty".