16846407040 has 192 divisors, whose sum is σ = 44592327360. Its totient is φ = 6064357376.

The previous prime is 16846407031. The next prime is 16846407049. The reversal of 16846407040 is 4070464861.

16846407040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16846407031) and next prime (16846407049).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16846406984 and 16846407002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16846407049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5754057 + ... + 5756983.

It is an arithmetic number, because the mean of its divisors is an integer number (232251705).

Almost surely, 2^16846407040 is an apocalyptic number.

16846407040 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 16846407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296163680).

16846407040 is an abundant number, since it is smaller than the sum of its proper divisors (27745920320).

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

16846407040 is a wasteful number, since it uses less digits than its factorization.

16846407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 16846407040 in words is "sixteen billion, eight hundred forty-six million, four hundred seven thousand, forty".