4178313216 has 456 divisors, whose sum is σ = 15703444224. Its totient is φ = 1038090240.

The previous prime is 4178313211. The next prime is 4178313221. The reversal of 4178313216 is 6123138714.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4178313211) and next prime (4178313221).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4178313211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181665781 + ... + 181665803.

Almost surely, 2^4178313216 is an apocalyptic number.

4178313216 is a gapful number since it is divisible by the number (46) 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 4178313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851722112).

4178313216 is an abundant number, since it is smaller than the sum of its proper divisors (11525131008).

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

4178313216 is an equidigital number, since it uses as much as digits as its factorization.

4178313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4178313216 is about 64639.8732672025. The cubic root of 4178313216 is about 1610.6468622235.

The spelling of 4178313216 in words is "four billion, one hundred seventy-eight million, three hundred thirteen thousand, two hundred sixteen".