4148820000 has 600 divisors, whose sum is σ = 16503276636. Its totient is φ = 1016064000.

The previous prime is 4148819977. The next prime is 4148820037. The reversal of 4148820000 is 288414.

4148820000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 102333456 + 4046486544 = 10116^2 + 63612^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 21059902 + ... + 21060098.

Almost surely, 2^4148820000 is an apocalyptic number.

4148820000 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 4148820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251638318).

4148820000 is an abundant number, since it is smaller than the sum of its proper divisors (12354456636).

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

4148820000 is a wasteful number, since it uses less digits than its factorization.

4148820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4148820000 is about 64411.3344062984. The cubic root of 4148820000 is about 1606.8482507607.

The spelling of 4148820000 in words is "four billion, one hundred forty-eight million, eight hundred twenty thousand".