16309789440 has 864 divisors, whose sum is σ = 65975218176. Its totient is φ = 3357573120.

The previous prime is 16309789439. The next prime is 16309789451. The reversal of 16309789440 is 4498790361.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440805102 + ... + 440805138.

Almost surely, 2^16309789440 is an apocalyptic number.

16309789440 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 16309789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32987609088).

16309789440 is an abundant number, since it is smaller than the sum of its proper divisors (49665428736).

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

16309789440 is a wasteful number, since it uses less digits than its factorization.

16309789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 16309789440 in words is "sixteen billion, three hundred nine million, seven hundred eighty-nine thousand, four hundred forty".