4148261208 has 512 divisors, whose sum is σ = 14918400000. Its totient is φ = 1060770816.

The previous prime is 4148261167. The next prime is 4148261237. The reversal of 4148261208 is 8021628414.

4148261208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56825460 + ... + 56825532.

It is an arithmetic number, because the mean of its divisors is an integer number (29137500).

Almost surely, 2^4148261208 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 4148261208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459200000).

4148261208 is an abundant number, since it is smaller than the sum of its proper divisors (10770138792).

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

4148261208 is a wasteful number, since it uses less digits than its factorization.

4148261208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4148261208 is about 64406.9965764590. The cubic root of 4148261208 is about 1606.7761070136.

It can be divided in two parts, 4148 and 261208, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 4148261208 in words is "four billion, one hundred forty-eight million, two hundred sixty-one thousand, two hundred eight".