4138857353040 has 80 divisors (see below), whose sum is σ = 12831483940800. Its totient is φ = 1103607023616.

The previous prime is 4138857353039. The next prime is 4138857353041. The reversal of 4138857353040 is 403537588314.

It is an interprime number because it is at equal distance from previous prime (4138857353039) and next prime (4138857353041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138857353041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345256 + ... + 3711864.

It is an arithmetic number, because the mean of its divisors is an integer number (160393549260).

Almost surely, 2^{4138857353040} is an apocalyptic number.

4138857353040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4138857353040 is an abundant number, since it is smaller than the sum of its proper divisors (8692626587760).

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

4138857353040 is a wasteful number, since it uses less digits than its factorization.

4138857353040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379244 (or 1379238 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 4138857353040 in words is "four trillion, one hundred thirty-eight billion, eight hundred fifty-seven million, three hundred fifty-three thousand, forty".