4048356480 has 384 divisors, whose sum is σ = 15429890880. Its totient is φ = 899555328.

The previous prime is 4048356479. The next prime is 4048356491. The reversal of 4048356480 is 846538404.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3480379 + ... + 3481541.

Almost surely, 2^4048356480 is an apocalyptic number.

4048356480 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 4048356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714945440).

4048356480 is an abundant number, since it is smaller than the sum of its proper divisors (11381534400).

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

4048356480 is a wasteful number, since it uses less digits than its factorization.

4048356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 4048356480 is about 63626.6962838713. The cubic root of 4048356480 is about 1593.7722072415.

The spelling of 4048356480 in words is "four billion, forty-eight million, three hundred fifty-six thousand, four hundred eighty".