4148152320 has 576 divisors, whose sum is σ = 15539247360. Its totient is φ = 940572672.

The previous prime is 4148152301. The next prime is 4148152321. The reversal of 4148152320 is 232518414.

4148152320 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148152321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88258537 + ... + 88258583.

It is an arithmetic number, because the mean of its divisors is an integer number (26977860).

Almost surely, 2^4148152320 is an apocalyptic number.

4148152320 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 4148152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7769623680).

4148152320 is an abundant number, since it is smaller than the sum of its proper divisors (11391095040).

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

4148152320 is a wasteful number, since it uses less digits than its factorization.

4148152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4148152320 is about 64406.1512590218. The cubic root of 4148152320 is about 1606.7620480976.

The spelling of 4148152320 in words is "four billion, one hundred forty-eight million, one hundred fifty-two thousand, three hundred twenty".