4106939600 has 120 divisors (see below), whose sum is σ = 10091145792. Its totient is φ = 1605888000.

The previous prime is 4106939569. The next prime is 4106939657. The reversal of 4106939600 is 69396014.

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 23 ways as a sum of consecutive naturals, for example, 3419000 + ... + 3420200.

Almost surely, 2^4106939600 is an apocalyptic number.

4106939600 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 4106939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045572896).

4106939600 is an abundant number, since it is smaller than the sum of its proper divisors (5984206192).

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

4106939600 is a wasteful number, since it uses less digits than its factorization.

4106939600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 4106939600 is about 64085.4086356637. The cubic root of 4106939600 is about 1601.4231608413.

The spelling of 4106939600 in words is "four billion, one hundred six million, nine hundred thirty-nine thousand, six hundred".