16841831040 has 320 divisors, whose sum is σ = 63314460000. Its totient is φ = 4254529536.

The previous prime is 16841831011. The next prime is 16841831077. The reversal of 16841831040 is 4013814861.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16841830986 and 16841831004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 976411 + ... + 993509.

Almost surely, 2^16841831040 is an apocalyptic number.

16841831040 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 16841831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657230000).

16841831040 is an abundant number, since it is smaller than the sum of its proper divisors (46472628960).

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

16841831040 is a wasteful number, since it uses less digits than its factorization.

16841831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17149 (or 17128 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 16841831040 in words is "sixteen billion, eight hundred forty-one million, eight hundred thirty-one thousand, forty".