4100935680 has 312 divisors, whose sum is σ = 14975769120. Its totient is φ = 1035141120.

The previous prime is 4100935651. The next prime is 4100935711. The reversal of 4100935680 is 865390014.

4100935680 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 93 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3501495 + ... + 3502665.

It is an arithmetic number, because the mean of its divisors is an integer number (47999260).

Almost surely, 2^4100935680 is an apocalyptic number.

4100935680 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 4100935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487884560).

4100935680 is an abundant number, since it is smaller than the sum of its proper divisors (10874833440).

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

4100935680 is a wasteful number, since it uses less digits than its factorization.

4100935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4100935680 is about 64038.5483907935. The cubic root of 4100935680 is about 1600.6424087016.

The spelling of 4100935680 in words is "four billion, one hundred million, nine hundred thirty-five thousand, six hundred eighty".