38845390124640 has 192 divisors, whose sum is σ = 133490135020032. Its totient is φ = 9416835072000.

The previous prime is 38845390124633. The next prime is 38845390124647. The reversal of 38845390124640 is 4642109354883.

38845390124640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38845390124633) and next prime (38845390124647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38845390124647) 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 31 ways as a sum of consecutive naturals, for example, 337139040 + ... + 337254240.

It is an arithmetic number, because the mean of its divisors is an integer number (695261119896).

Almost surely, 2^{38845390124640} is an apocalyptic number.

38845390124640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38845390124640 is an abundant number, since it is smaller than the sum of its proper divisors (94644744895392).

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

38845390124640 is a wasteful number, since it uses less digits than its factorization.

38845390124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179093 (or 179085 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 38845390124640 in words is "thirty-eight trillion, eight hundred forty-five billion, three hundred ninety million, one hundred twenty-four thousand, six hundred forty".