4048404400 has 60 divisors (see below), whose sum is σ = 9802999552. Its totient is φ = 1606590720.

The previous prime is 4048404383. The next prime is 4048404401. The reversal of 4048404400 is 44048404.

It is not an unprimeable number, because it can be changed into a prime (4048404401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10954 + ... + 90646.

Almost surely, 2^4048404400 is an apocalyptic number.

4048404400 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 4048404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901499776).

4048404400 is an abundant number, since it is smaller than the sum of its proper divisors (5754595152).

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

4048404400 is a wasteful number, since it uses less digits than its factorization.

4048404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79838 (or 79827 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4048404400 is about 63627.0728542497. The cubic root of 4048404400 is about 1593.7784956586.

The spelling of 4048404400 in words is "four billion, forty-eight million, four hundred four thousand, four hundred".