4048415000 has 160 divisors (see below), whose sum is σ = 10955493120. Its totient is φ = 1373328000.

The previous prime is 4048414939. The next prime is 4048415027. The reversal of 4048415000 is 5148404.

4048415000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3604439 + ... + 3605561.

It is an arithmetic number, because the mean of its divisors is an integer number (68471832).

Almost surely, 2^4048415000 is an apocalyptic number.

4048415000 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 4048415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477746560).

4048415000 is an abundant number, since it is smaller than the sum of its proper divisors (6907078120).

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

4048415000 is a wasteful number, since it uses less digits than its factorization.

4048415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 4048415000 is about 63627.1561520708. The cubic root of 4048415000 is about 1593.7798866624.

The spelling of 4048415000 in words is "four billion, forty-eight million, four hundred fifteen thousand".