13374533975040 has 1584 divisors, whose sum is σ = 56190067464960. Its totient is φ = 2929608622080.

The previous prime is 13374533975017. The next prime is 13374533975107. The reversal of 13374533975040 is 4057933547331.

13374533975040 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 45 + 3 + 3 + 97 + 504 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7629510804 + ... + 7629512556.

It is an arithmetic number, because the mean of its divisors is an integer number (35473527440).

Almost surely, 2^{13374533975040} is an apocalyptic number.

13374533975040 is a gapful number since it is divisible by the number (10) 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 13374533975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28095033732480).

13374533975040 is an abundant number, since it is smaller than the sum of its proper divisors (42815533489920).

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

13374533975040 is a wasteful number, since it uses less digits than its factorization.

13374533975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 13374533975040 in words is "thirteen trillion, three hundred seventy-four billion, five hundred thirty-three million, nine hundred seventy-five thousand, forty".