9850840416 has 72 divisors (see below), whose sum is σ = 28664836200. Its totient is φ = 3207246336.

The previous prime is 9850840411. The next prime is 9850840429. The reversal of 9850840416 is 6140480589.

9850840416 is a `hidden beast` number, since 98 + 508 + 40 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×9850840416³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9850840411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385341 + ... + 410108.

It is an arithmetic number, because the mean of its divisors is an integer number (398122725).

Almost surely, 2^9850840416 is an apocalyptic number.

9850840416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9850840416 is an abundant number, since it is smaller than the sum of its proper divisors (18813995784).

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

9850840416 is a wasteful number, since it uses less digits than its factorization.

9850840416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795508 (or 795497 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 9850840416 is about 99251.4000707295. The cubic root of 9850840416 is about 2143.6691658346.

The spelling of 9850840416 in words is "nine billion, eight hundred fifty million, eight hundred forty thousand, four hundred sixteen".