4146729216 has 288 divisors, whose sum is σ = 13486475520. Its totient is φ = 1107984384.

The previous prime is 4146729161. The next prime is 4146729259. The reversal of 4146729216 is 6129276414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26412210 + ... + 26412366.

It is an arithmetic number, because the mean of its divisors is an integer number (46828040).

Almost surely, 2^4146729216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4146729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743237760).

4146729216 is an abundant number, since it is smaller than the sum of its proper divisors (9339746304).

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

4146729216 is an equidigital number, since it uses as much as digits as its factorization.

4146729216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 186 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 4146729216 is about 64395.1024224669. The cubic root of 4146729216 is about 1606.5782834672.

The spelling of 4146729216 in words is "four billion, one hundred forty-six million, seven hundred twenty-nine thousand, two hundred sixteen".