4148016000 has 256 divisors, whose sum is σ = 13900723200. Its totient is φ = 1094092800.

The previous prime is 4148015987. The next prime is 4148016011. The reversal of 4148016000 is 6108414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 4943581 + ... + 4944419.

It is an arithmetic number, because the mean of its divisors is an integer number (54299700).

Almost surely, 2^4148016000 is an apocalyptic number.

4148016000 is a gapful number since it is divisible by the number (40) 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 4148016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950361600).

4148016000 is an abundant number, since it is smaller than the sum of its proper divisors (9752707200).

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

4148016000 is a wasteful number, since it uses less digits than its factorization.

4148016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 4148016000 is about 64405.0929663175. The cubic root of 4148016000 is about 1606.7444469920.

The spelling of 4148016000 in words is "four billion, one hundred forty-eight million, sixteen thousand".