4103124480 has 960 divisors, whose sum is σ = 18588810240. Its totient is φ = 812187648.

The previous prime is 4103124463. The next prime is 4103124481. The reversal of 4103124480 is 844213014.

4103124480 is a `hidden beast` number, since 410 + 3 + 1 + 244 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103124481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39836109 + ... + 39836211.

It is an arithmetic number, because the mean of its divisors is an integer number (19363344).

Almost surely, 2^4103124480 is an apocalyptic number.

4103124480 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 4103124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9294405120).

4103124480 is an abundant number, since it is smaller than the sum of its proper divisors (14485685760).

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

4103124480 is a wasteful number, since it uses less digits than its factorization.

4103124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4103124480 is about 64055.6358176234. The cubic root of 4103124480 is about 1600.9271293324.

Adding to 4103124480 its reverse (844213014), we get a palindrome (4947337494).

The spelling of 4103124480 in words is "four billion, one hundred three million, one hundred twenty-four thousand, four hundred eighty".