4100125920 has 192 divisors, whose sum is σ = 14155223040. Its totient is φ = 989337600.

The previous prime is 4100125859. The next prime is 4100125933. The reversal of 4100125920 is 295210014.

4100125920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4100125920² = 33622065119711692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207425 + ... + 1210815.

It is an arithmetic number, because the mean of its divisors is an integer number (73725120).

Almost surely, 2^4100125920 is an apocalyptic number.

4100125920 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 4100125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077611520).

4100125920 is an abundant number, since it is smaller than the sum of its proper divisors (10055097120).

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

4100125920 is a wasteful number, since it uses less digits than its factorization.

4100125920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 4100125920 is about 64032.2256367839. The cubic root of 4100125920 is about 1600.5370488831.

Adding to 4100125920 its reverse (295210014), we get a palindrome (4395335934).

The spelling of 4100125920 in words is "four billion, one hundred million, one hundred twenty-five thousand, nine hundred twenty".