4148913600 has 504 divisors, whose sum is σ = 16336975200. Its totient is φ = 992010240.

The previous prime is 4148913469. The next prime is 4148913607. The reversal of 4148913600 is 63198414.

4148913600 is a `hidden beast` number, since 4 + 1 + 48 + 9 + 1 + 3 + 600 = 666.

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 (4148913607) 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 71 ways as a sum of consecutive naturals, for example, 6926101 + ... + 6926699.

Almost surely, 2^4148913600 is an apocalyptic number.

4148913600 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 4148913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168487600).

4148913600 is an abundant number, since it is smaller than the sum of its proper divisors (12188061600).

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

4148913600 is a wasteful number, since it uses less digits than its factorization.

4148913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4148913600 is about 64412.0609823968. The cubic root of 4148913600 is about 1606.8603345070.

The spelling of 4148913600 in words is "four billion, one hundred forty-eight million, nine hundred thirteen thousand, six hundred".