4138302535600 has 240 divisors, whose sum is σ = 10518246789120. Its totient is φ = 1561466649600.

The previous prime is 4138302535597. The next prime is 4138302535711. The reversal of 4138302535600 is 65352038314.

4138302535600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724616745 + ... + 724622455.

It is an arithmetic number, because the mean of its divisors is an integer number (43826028288).

Almost surely, 2^{4138302535600} is an apocalyptic number.

4138302535600 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 4138302535600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259123394560).

4138302535600 is an abundant number, since it is smaller than the sum of its proper divisors (6379944253520).

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

4138302535600 is a wasteful number, since it uses less digits than its factorization.

4138302535600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 4138302535600 in words is "four trillion, one hundred thirty-eight billion, three hundred two million, five hundred thirty-five thousand, six hundred".