4107951936 has 504 divisors, whose sum is σ = 14018178720. Its totient is φ = 1190661120.

The previous prime is 4107951923. The next prime is 4107952003. The reversal of 4107951936 is 6391597014.

It is a super-2 number, since 2×4107951936² = 33750538216972296192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4107951891 and 4107951900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69626275 + ... + 69626333.

Almost surely, 2^4107951936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4107951936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009089360).

4107951936 is an abundant number, since it is smaller than the sum of its proper divisors (9910226784).

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

4107951936 is a wasteful number, since it uses less digits than its factorization.

4107951936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 4107951936 is about 64093.3064835947. The cubic root of 4107951936 is about 1601.5547304356.

The spelling of 4107951936 in words is "four billion, one hundred seven million, nine hundred fifty-one thousand, nine hundred thirty-six".