16365829040 has 80 divisors (see below), whose sum is σ = 41547983616. Its totient is φ = 5945721600.

The previous prime is 16365828979. The next prime is 16365829043. The reversal of 16365829040 is 4092856361.

It is a Cunningham number, because it is equal to 127929²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 16365828982 and 16365829000.

It is not an unprimeable number, because it can be changed into a prime (16365829043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015445 + ... + 1031435.

Almost surely, 2^16365829040 is an apocalyptic number.

16365829040 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 16365829040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20773991808).

16365829040 is an abundant number, since it is smaller than the sum of its proper divisors (25182154576).

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

16365829040 is a wasteful number, since it uses less digits than its factorization.

16365829040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17178 (or 17172 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 16365829040 in words is "sixteen billion, three hundred sixty-five million, eight hundred twenty-nine thousand, forty".