4100634720 has 1152 divisors, whose sum is σ = 19108776960. Its totient is φ = 806215680.

The previous prime is 4100634679. The next prime is 4100634773. The reversal of 4100634720 is 274360014.

4100634720 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 634 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67223490 + ... + 67223550.

It is an arithmetic number, because the mean of its divisors is an integer number (16587480).

Almost surely, 2^4100634720 is an apocalyptic number.

4100634720 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 4100634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9554388480).

4100634720 is an abundant number, since it is smaller than the sum of its proper divisors (15008142240).

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

4100634720 is a wasteful number, since it uses less digits than its factorization.

4100634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4100634720 is about 64036.1985130286. The cubic root of 4100634720 is about 1600.6032516927.

Adding to 4100634720 its reverse (274360014), we get a palindrome (4374994734).

The spelling of 4100634720 in words is "four billion, one hundred million, six hundred thirty-four thousand, seven hundred twenty".