4138667400 has 576 divisors, whose sum is σ = 16284672000. Its totient is φ = 863654400.

The previous prime is 4138667399. The next prime is 4138667447. The reversal of 4138667400 is 47668314.

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 143 ways as a sum of consecutive naturals, for example, 17316481 + ... + 17316719.

It is an arithmetic number, because the mean of its divisors is an integer number (28272000).

Almost surely, 2^4138667400 is an apocalyptic number.

4138667400 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 4138667400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142336000).

4138667400 is an abundant number, since it is smaller than the sum of its proper divisors (12146004600).

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

4138667400 is a wasteful number, since it uses less digits than its factorization.

4138667400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4138667400 is about 64332.4754692372. The cubic root of 4138667400 is about 1605.5364711241.

The spelling of 4138667400 in words is "four billion, one hundred thirty-eight million, six hundred sixty-seven thousand, four hundred".