4048352000 has 576 divisors, whose sum is σ = 13223927808. Its totient is φ = 1198080000.

The previous prime is 4048351991. The next prime is 4048352039. The reversal of 4048352000 is 2538404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76383974 + ... + 76384026.

It is an arithmetic number, because the mean of its divisors is an integer number (22958208).

Almost surely, 2^4048352000 is an apocalyptic number.

4048352000 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 4048352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6611963904).

4048352000 is an abundant number, since it is smaller than the sum of its proper divisors (9175575808).

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

4048352000 is a wasteful number, since it uses less digits than its factorization.

4048352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4048352000 is about 63626.6610785133. The cubic root of 4048352000 is about 1593.7716193402.

The spelling of 4048352000 in words is "four billion, forty-eight million, three hundred fifty-two thousand".