13375384040 has 32 divisors (see below), whose sum is σ = 30274836480. Its totient is φ = 5318114112.

The previous prime is 13375384019. The next prime is 13375384067. The reversal of 13375384040 is 4048357331.

13375384040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13375383985 and 13375384003.

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 7 ways as a sum of consecutive naturals, for example, 994472 + ... + 1007831.

It is an arithmetic number, because the mean of its divisors is an integer number (946088640).

Almost surely, 2^13375384040 is an apocalyptic number.

13375384040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13375384040 is an abundant number, since it is smaller than the sum of its proper divisors (16899452440).

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

13375384040 is a wasteful number, since it uses less digits than its factorization.

13375384040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002481 (or 2002477 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 13375384040 in words is "thirteen billion, three hundred seventy-five million, three hundred eighty-four thousand, forty".