3138685021440 has 108 divisors (see below), whose sum is σ = 10859523267684. Its totient is φ = 836982669312.

The previous prime is 3138685021403. The next prime is 3138685021447. The reversal of 3138685021440 is 441205868313.

3138685021440 is a `hidden beast` number, since 3 + 1 + 38 + 68 + 502 + 14 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 429790381056 + 2708894640384 = 655584^2 + 1645872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3138685021447) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 136216129 + ... + 136239168.

Almost surely, 2^{3138685021440} is an apocalyptic number.

3138685021440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3138685021440 is an abundant number, since it is smaller than the sum of its proper divisors (7720838246244).

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

3138685021440 is a wasteful number, since it uses less digits than its factorization.

3138685021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272455324 (or 272455307 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3138685021440 in words is "three trillion, one hundred thirty-eight billion, six hundred eighty-five million, twenty-one thousand, four hundred forty".