16729834440 has 256 divisors, whose sum is σ = 55685387520. Its totient is φ = 3987210240.

The previous prime is 16729834427. The next prime is 16729834469. The reversal of 16729834440 is 4443892761.

It is a super-2 number, since 2×16729834440² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16729834440.

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, 24711382 + ... + 24712058.

It is an arithmetic number, because the mean of its divisors is an integer number (217521045).

Almost surely, 2^16729834440 is an apocalyptic number.

16729834440 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 16729834440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27842693760).

16729834440 is an abundant number, since it is smaller than the sum of its proper divisors (38955553080).

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

16729834440 is a wasteful number, since it uses less digits than its factorization.

16729834440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 16729834440 in words is "sixteen billion, seven hundred twenty-nine million, eight hundred thirty-four thousand, four hundred forty".