4048349760 has 896 divisors, whose sum is σ = 18570854400. Its totient is φ = 806215680.

The previous prime is 4048349731. The next prime is 4048349821. The reversal of 4048349760 is 679438404.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14938425 + ... + 14938695.

It is an arithmetic number, because the mean of its divisors is an integer number (20726400).

Almost surely, 2^4048349760 is an apocalyptic number.

4048349760 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 4048349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285427200).

4048349760 is an abundant number, since it is smaller than the sum of its proper divisors (14522504640).

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

4048349760 is a wasteful number, since it uses less digits than its factorization.

4048349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4048349760 is about 63626.6434758270. The cubic root of 4048349760 is about 1593.7713253894.

The spelling of 4048349760 in words is "four billion, forty-eight million, three hundred forty-nine thousand, seven hundred sixty".