4138807100 has 72 divisors (see below), whose sum is σ = 9187849440. Its totient is φ = 1617690880.

The previous prime is 4138807093. The next prime is 4138807103. The reversal of 4138807100 is 17088314.

It is a super-2 number, since 2×4138807100² = 34259448422020820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138807103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424249 + ... + 1427151.

It is an arithmetic number, because the mean of its divisors is an integer number (127609020).

Almost surely, 2^4138807100 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 4138807100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593924720).

4138807100 is an abundant number, since it is smaller than the sum of its proper divisors (5049042340).

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

4138807100 is a wasteful number, since it uses less digits than its factorization.

4138807100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 4138807100 is about 64333.5612258485. The cubic root of 4138807100 is about 1605.5545357892.

The spelling of 4138807100 in words is "four billion, one hundred thirty-eight million, eight hundred seven thousand, one hundred".