4023807840 has 576 divisors, whose sum is σ = 16180819200. Its totient is φ = 936105984.

The previous prime is 4023807829. The next prime is 4023807863. The reversal of 4023807840 is 487083204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4023807795 and 4023807804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9603151 + ... + 9603569.

It is an arithmetic number, because the mean of its divisors is an integer number (28091700).

Almost surely, 2^4023807840 is an apocalyptic number.

4023807840 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 4023807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090409600).

4023807840 is an abundant number, since it is smaller than the sum of its proper divisors (12157011360).

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

4023807840 is a wasteful number, since it uses less digits than its factorization.

4023807840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4023807840 is about 63433.4914694123. The cubic root of 4023807840 is about 1590.5442067364.

The spelling of 4023807840 in words is "four billion, twenty-three million, eight hundred seven thousand, eight hundred forty".