16040802705760 has 384 divisors, whose sum is σ = 43816077398016. Its totient is φ = 5436017049600.

The previous prime is 16040802705757. The next prime is 16040802705779. The reversal of 16040802705760 is 6750720804061.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16040802705760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40002001560 + ... + 40002001960.

It is an arithmetic number, because the mean of its divisors is an integer number (114104368224).

Almost surely, 2^{16040802705760} is an apocalyptic number.

16040802705760 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 16040802705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21908038699008).

16040802705760 is an abundant number, since it is smaller than the sum of its proper divisors (27775274692256).

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

16040802705760 is a wasteful number, since it uses less digits than its factorization.

16040802705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 16040802705760 in words is "sixteen trillion, forty billion, eight hundred two million, seven hundred five thousand, seven hundred sixty".