10416343750128 has 80 divisors (see below), whose sum is σ = 29926271580160. Its totient is φ = 3468920209344.

The previous prime is 10416343750121. The next prime is 10416343750157. The reversal of 10416343750128 is 82105734361401.

10416343750128 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 634 + 3 + 7 + 5 + 0 + 1 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10416343750121) 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 15 ways as a sum of consecutive naturals, for example, 10621450 + ... + 11560617.

It is an arithmetic number, because the mean of its divisors is an integer number (374078394752).

Almost surely, 2^{10416343750128} is an apocalyptic number.

10416343750128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10416343750128 is an abundant number, since it is smaller than the sum of its proper divisors (19509927830032).

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

10416343750128 is a wasteful number, since it uses less digits than its factorization.

10416343750128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22183171 (or 22183159 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10416343750128 in words is "ten trillion, four hundred sixteen billion, three hundred forty-three million, seven hundred fifty thousand, one hundred twenty-eight".