4023856480 has 384 divisors, whose sum is σ = 12410496000. Its totient is φ = 1224695808.

The previous prime is 4023856469. The next prime is 4023856511. The reversal of 4023856480 is 846583204.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17726127 + ... + 17726353.

It is an arithmetic number, because the mean of its divisors is an integer number (32319000).

Almost surely, 2^4023856480 is an apocalyptic number.

4023856480 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 4023856480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248000).

4023856480 is an abundant number, since it is smaller than the sum of its proper divisors (8386639520).

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

4023856480 is a wasteful number, since it uses less digits than its factorization.

4023856480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 4023856480 is about 63433.8748619379. The cubic root of 4023856480 is about 1590.5506155712.

The spelling of 4023856480 in words is "four billion, twenty-three million, eight hundred fifty-six thousand, four hundred eighty".