16438322880 has 672 divisors, whose sum is σ = 69078896640. Its totient is φ = 3506872320.

The previous prime is 16438322869. The next prime is 16438322881. The reversal of 16438322880 is 8822383461.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16438322881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18123387 + ... + 18124293.

Almost surely, 2^16438322880 is an apocalyptic number.

16438322880 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 16438322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34539448320).

16438322880 is an abundant number, since it is smaller than the sum of its proper divisors (52640573760).

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

16438322880 is a wasteful number, since it uses less digits than its factorization.

16438322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 16438322880 in words is "sixteen billion, four hundred thirty-eight million, three hundred twenty-two thousand, eight hundred eighty".