4148141904 has 120 divisors (see below), whose sum is σ = 12145372200. Its totient is φ = 1319915520.

The previous prime is 4148141903. The next prime is 4148141911. The reversal of 4148141904 is 4091418414.

It can be written as a sum of positive squares in 4 ways, for example, as 26501904 + 4121640000 = 5148^2 + 64200^2 .

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 (4148141903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366084 + ... + 377244.

It is an arithmetic number, because the mean of its divisors is an integer number (101211435).

Almost surely, 2^4148141904 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 4148141904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072686100).

4148141904 is an abundant number, since it is smaller than the sum of its proper divisors (7997230296).

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

4148141904 is a wasteful number, since it uses less digits than its factorization.

4148141904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11293 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4148141904 is about 64406.0703971295. The cubic root of 4148141904 is about 1606.7607032380.

The spelling of 4148141904 in words is "four billion, one hundred forty-eight million, one hundred forty-one thousand, nine hundred four".