4103822880 has 288 divisors, whose sum is σ = 14777380800. Its totient is φ = 1075203072.

The previous prime is 4103822869. The next prime is 4103822897. The reversal of 4103822880 is 882283014.

It is a happy number.

4103822880 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 tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4103822880² = 33682724460822988800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2293026 + ... + 2294814.

It is an arithmetic number, because the mean of its divisors is an integer number (51310350).

Almost surely, 2^4103822880 is an apocalyptic number.

4103822880 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 4103822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388690400).

4103822880 is an abundant number, since it is smaller than the sum of its proper divisors (10673557920).

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

4103822880 is a wasteful number, since it uses less digits than its factorization.

4103822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4103822880 is about 64061.0870966143. The cubic root of 4103822880 is about 1601.0179563823.

The spelling of 4103822880 in words is "four billion, one hundred three million, eight hundred twenty-two thousand, eight hundred eighty".