4048682800 has 60 divisors (see below), whose sum is σ = 9821496880. Its totient is φ = 1603733760.

The previous prime is 4048682797. The next prime is 4048682809. The reversal of 4048682800 is 82868404.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4048682809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7935 + ... + 90334.

Almost surely, 2^4048682800 is an apocalyptic number.

4048682800 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 4048682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910748440).

4048682800 is an abundant number, since it is smaller than the sum of its proper divisors (5772814080).

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

4048682800 is a wasteful number, since it uses less digits than its factorization.

4048682800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98390 (or 98379 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 4048682800 is about 63629.2605646176. The cubic root of 4048682800 is about 1593.8150283860.

The spelling of 4048682800 in words is "four billion, forty-eight million, six hundred eighty-two thousand, eight hundred".