10405664516416 has 112 divisors (see below), whose sum is σ = 22491878653440. Its totient is φ = 4747778058240.

The previous prime is 10405664516413. The next prime is 10405664516419. The reversal of 10405664516416 is 61461546650401.

It is an interprime number because it is at equal distance from previous prime (10405664516413) and next prime (10405664516419).

It is a self number, because there is not a number n which added to its sum of digits gives 10405664516416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405664516413) 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, 42520486 + ... + 42764506.

It is an arithmetic number, because the mean of its divisors is an integer number (200820345120).

Almost surely, 2^{10405664516416} is an apocalyptic number.

10405664516416 is a gapful number since it is divisible by the number (16) 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 10405664516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245939326720).

10405664516416 is an abundant number, since it is smaller than the sum of its proper divisors (12086214137024).

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

10405664516416 is a wasteful number, since it uses less digits than its factorization.

10405664516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244632 (or 244622 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

The spelling of 10405664516416 in words is "ten trillion, four hundred five billion, six hundred sixty-four million, five hundred sixteen thousand, four hundred sixteen".