4138506240 has 384 divisors, whose sum is σ = 14878805760. Its totient is φ = 973209600.

The previous prime is 4138506227. The next prime is 4138506241. The reversal of 4138506240 is 426058314.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138506241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12502875 + ... + 12503205.

It is an arithmetic number, because the mean of its divisors is an integer number (38746890).

Almost surely, 2^4138506240 is an apocalyptic number.

4138506240 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 4138506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439402880).

4138506240 is an abundant number, since it is smaller than the sum of its proper divisors (10740299520).

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

4138506240 is a wasteful number, since it uses less digits than its factorization.

4138506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4138506240 is about 64331.2229014807. Note that the first 3 decimals coincide. The cubic root of 4138506240 is about 1605.5156309525.

The spelling of 4138506240 in words is "four billion, one hundred thirty-eight million, five hundred six thousand, two hundred forty".