4100634120 has 256 divisors, whose sum is σ = 14458798080. Its totient is φ = 919987200.

The previous prime is 4100634103. The next prime is 4100634193. The reversal of 4100634120 is 214360014.

It is a super-2 number, since 2×4100634120² = 33630400372216348800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 938982 + ... + 943338.

It is an arithmetic number, because the mean of its divisors is an integer number (56479680).

Almost surely, 2^4100634120 is an apocalyptic number.

4100634120 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 4100634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229399040).

4100634120 is an abundant number, since it is smaller than the sum of its proper divisors (10358163960).

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

4100634120 is a wasteful number, since it uses less digits than its factorization.

4100634120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4100634120 is about 64036.1938281781. The cubic root of 4100634120 is about 1600.6031736266.

Adding to 4100634120 its reverse (214360014), we get a palindrome (4314994134).

The spelling of 4100634120 in words is "four billion, one hundred million, six hundred thirty-four thousand, one hundred twenty".