4148095104 has 256 divisors, whose sum is σ = 12695654400. Its totient is φ = 1332495360.

The previous prime is 4148095093. The next prime is 4148095109. The reversal of 4148095104 is 4015908414.

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 (4148095109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15306489 + ... + 15306759.

It is an arithmetic number, because the mean of its divisors is an integer number (49592400).

Almost surely, 2^4148095104 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 4148095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347827200).

4148095104 is an abundant number, since it is smaller than the sum of its proper divisors (8547559296).

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

4148095104 is a wasteful number, since it uses less digits than its factorization.

4148095104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4148095104 is about 64405.7070763143. The cubic root of 4148095104 is about 1606.7546606383.

The spelling of 4148095104 in words is "four billion, one hundred forty-eight million, ninety-five thousand, one hundred four".