16211991040 has 320 divisors, whose sum is σ = 46648800000. Its totient is φ = 5397331968.

The previous prime is 16211991023. The next prime is 16211991073. The reversal of 16211991040 is 4019911261.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 16211990987 and 16211991005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32488711 + ... + 32489209.

It is an arithmetic number, because the mean of its divisors is an integer number (145777500).

Almost surely, 2^16211991040 is an apocalyptic number.

16211991040 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 16211991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23324400000).

16211991040 is an abundant number, since it is smaller than the sum of its proper divisors (30436808960).

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

16211991040 is an frugal number, since it uses more digits than its factorization.

16211991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 16211991040 in words is "sixteen billion, two hundred eleven million, nine hundred ninety-one thousand, forty".