4000423680 has 576 divisors, whose sum is σ = 16423948800. Its totient is φ = 911278080.

The previous prime is 4000423667. The next prime is 4000423703. The reversal of 4000423680 is 863240004.

4000423680 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 (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6462411 + ... + 6463029.

It is an arithmetic number, because the mean of its divisors is an integer number (28513800).

Almost surely, 2^4000423680 is an apocalyptic number.

4000423680 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 4000423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211974400).

4000423680 is an abundant number, since it is smaller than the sum of its proper divisors (12423525120).

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

4000423680 is a wasteful number, since it uses less digits than its factorization.

4000423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4000423680 is about 63248.9025991756. The cubic root of 4000423680 is about 1587.4570958293.

Adding to 4000423680 its reverse (863240004), we get a palindrome (4863663684).

The spelling of 4000423680 in words is "four billion, four hundred twenty-three thousand, six hundred eighty".