10405388809728 has 480 divisors, whose sum is σ = 33678082893312. Its totient is φ = 3066074726400.

The previous prime is 10405388809721. The next prime is 10405388809759. The reversal of 10405388809728 is 82790888350401.

10405388809728 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 538 + 8 + 8 + 0 + 97 + 2 + 8 = 666.

It is a super-2 number, since 2×10405388809728² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405388809721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262696101 + ... + 262735707.

Almost surely, 2^{10405388809728} is an apocalyptic number.

10405388809728 is a gapful number since it is divisible by the number (18) 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 10405388809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16839041446656).

10405388809728 is an abundant number, since it is smaller than the sum of its proper divisors (23272694083584).

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

10405388809728 is a wasteful number, since it uses less digits than its factorization.

10405388809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39786 (or 39767 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 10405388809728 in words is "ten trillion, four hundred five billion, three hundred eighty-eight million, eight hundred nine thousand, seven hundred twenty-eight".