4138692840 has 256 divisors, whose sum is σ = 14702860800. Its totient is φ = 1031933952.

The previous prime is 4138692799. The next prime is 4138692847. The reversal of 4138692840 is 482968314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4138692847) 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 63 ways as a sum of consecutive naturals, for example, 3175629 + ... + 3176931.

It is an arithmetic number, because the mean of its divisors is an integer number (57433050).

Almost surely, 2^4138692840 is an apocalyptic number.

4138692840 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 4138692840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351430400).

4138692840 is an abundant number, since it is smaller than the sum of its proper divisors (10564167960).

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

4138692840 is a wasteful number, since it uses less digits than its factorization.

4138692840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4138692840 is about 64332.6731917771. The cubic root of 4138692840 is about 1605.5397608114.

The spelling of 4138692840 in words is "four billion, one hundred thirty-eight million, six hundred ninety-two thousand, eight hundred forty".