4191148416 has 512 divisors, whose sum is σ = 14608097280. Its totient is φ = 1035141120.

The previous prime is 4191148391. The next prime is 4191148501. The reversal of 4191148416 is 6148411914.

It is a super-4 number, since 4×4191148416⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57412956 + ... + 57413028.

It is an arithmetic number, because the mean of its divisors is an integer number (28531440).

Almost surely, 2^4191148416 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 4191148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304048640).

4191148416 is an abundant number, since it is smaller than the sum of its proper divisors (10416948864).

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

4191148416 is a wasteful number, since it uses less digits than its factorization.

4191148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 4191148416 is about 64739.0795115284. The cubic root of 4191148416 is about 1612.2944044587.

The spelling of 4191148416 in words is "four billion, one hundred ninety-one million, one hundred forty-eight thousand, four hundred sixteen".