16033009440 has 192 divisors, whose sum is σ = 57802864896. Its totient is φ = 3659354112.

The previous prime is 16033009411. The next prime is 16033009453. The reversal of 16033009440 is 4490033061.

16033009440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16033009440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16033009398 and 16033009407.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2594194 + ... + 2600366.

It is an arithmetic number, because the mean of its divisors is an integer number (301056588).

Almost surely, 2^16033009440 is an apocalyptic number.

16033009440 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 16033009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28901432448).

16033009440 is an abundant number, since it is smaller than the sum of its proper divisors (41769855456).

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

16033009440 is a wasteful number, since it uses less digits than its factorization.

16033009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 16033009440 in words is "sixteen billion, thirty-three million, nine thousand, four hundred forty".