9436041216 has 520 divisors, whose sum is σ = 34252796160. Its totient is φ = 2526806016.

The previous prime is 9436041211. The next prime is 9436041221. The reversal of 9436041216 is 6121406349.

9436041216 is a `hidden beast` number, since 9 + 43 + 604 + 1 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (9436041211) and next prime (9436041221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9436041211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39481225 + ... + 39481463.

Almost surely, 2^9436041216 is an apocalyptic number.

9436041216 is a gapful number since it is divisible by the number (96) 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 9436041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126398080).

9436041216 is an abundant number, since it is smaller than the sum of its proper divisors (24816754944).

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

9436041216 is a wasteful number, since it uses less digits than its factorization.

9436041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9436041216 is about 97139.2877058505. The cubic root of 9436041216 is about 2113.1481360620.

The spelling of 9436041216 in words is "nine billion, four hundred thirty-six million, forty-one thousand, two hundred sixteen".