4048007040 has 384 divisors, whose sum is σ = 17429368320. Its totient is φ = 841052160.

The previous prime is 4048006999. The next prime is 4048007083. The reversal of 4048007040 is 407008404.

4048007040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4048006995 and 4048007013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438957 + ... + 448083.

It is an arithmetic number, because the mean of its divisors is an integer number (45388980).

Almost surely, 2^4048007040 is an apocalyptic number.

4048007040 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 4048007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714684160).

4048007040 is an abundant number, since it is smaller than the sum of its proper divisors (13381361280).

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

4048007040 is a wasteful number, since it uses less digits than its factorization.

4048007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9170 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4048007040 is about 63623.9502074494. The cubic root of 4048007040 is about 1593.7263496375.

The spelling of 4048007040 in words is "four billion, forty-eight million, seven thousand, forty".