4023540480 has 288 divisors, whose sum is σ = 13276025280. Its totient is φ = 1038090240.

The previous prime is 4023540379. The next prime is 4023540497. The reversal of 4023540480 is 840453204.

4023540480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20847264 + ... + 20847456.

It is an arithmetic number, because the mean of its divisors is an integer number (46097310).

Almost surely, 2^4023540480 is an apocalyptic number.

4023540480 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 4023540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638012640).

4023540480 is an abundant number, since it is smaller than the sum of its proper divisors (9252484800).

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

4023540480 is a wasteful number, since it uses less digits than its factorization.

4023540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4023540480 is about 63431.3840303047. The cubic root of 4023540480 is about 1590.5089783048.

Adding to 4023540480 its reverse (840453204), we get a palindrome (4863993684).

The spelling of 4023540480 in words is "four billion, twenty-three million, five hundred forty thousand, four hundred eighty".