16340760791040 has 1536 divisors, whose sum is σ = 64800869253120. Its totient is φ = 3433483468800.

The previous prime is 16340760790999. The next prime is 16340760791041. The reversal of 16340760791040 is 4019706704361.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16340760791041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30204733170 + ... + 30204733710.

It is an arithmetic number, because the mean of its divisors is an integer number (42188065920).

Almost surely, 2^{16340760791040} is an apocalyptic number.

16340760791040 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 16340760791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400434626560).

16340760791040 is an abundant number, since it is smaller than the sum of its proper divisors (48460108462080).

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

16340760791040 is a wasteful number, since it uses less digits than its factorization.

16340760791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 16340760791040 in words is "sixteen trillion, three hundred forty billion, seven hundred sixty million, seven hundred ninety-one thousand, forty".