3840910427040 has 288 divisors, whose sum is σ = 12464342856000. Its totient is φ = 994185363456.

The previous prime is 3840910427027. The next prime is 3840910427059. The reversal of 3840910427040 is 407240190483.

It is a junction number, because it is equal to n+sod(n) for n = 3840910426983 and 3840910427001.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 284526211 + ... + 284539709.

It is an arithmetic number, because the mean of its divisors is an integer number (43278968250).

Almost surely, 2^{3840910427040} is an apocalyptic number.

3840910427040 is a gapful number since it is divisible by the number (30) 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 3840910427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232171428000).

3840910427040 is an abundant number, since it is smaller than the sum of its proper divisors (8623432428960).

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

3840910427040 is a wasteful number, since it uses less digits than its factorization.

3840910427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14024 (or 13979 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 3840910427040 in words is "three trillion, eight hundred forty billion, nine hundred ten million, four hundred twenty-seven thousand, forty".