4138500912 has 320 divisors, whose sum is σ = 13995770880. Its totient is φ = 1024192512.

The previous prime is 4138500907. The next prime is 4138500959. The reversal of 4138500912 is 2190058314.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4686423 + ... + 4687305.

It is an arithmetic number, because the mean of its divisors is an integer number (43736784).

Almost surely, 2^4138500912 is an apocalyptic number.

4138500912 is a gapful number since it is divisible by the number (42) 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 4138500912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997885440).

4138500912 is an abundant number, since it is smaller than the sum of its proper divisors (9857269968).

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

4138500912 is a wasteful number, since it uses less digits than its factorization.

4138500912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4138500912 is about 64331.1814907825. The cubic root of 4138500912 is about 1605.5149419607.

The spelling of 4138500912 in words is "four billion, one hundred thirty-eight million, five hundred thousand, nine hundred twelve".