4059383040 has 432 divisors, whose sum is σ = 15070788096. Its totient is φ = 1045094400.

The previous prime is 4059382993. The next prime is 4059383057. The reversal of 4059383040 is 403839504.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 4059382986 and 4059383004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9642030 + ... + 9642450.

Almost surely, 2^4059383040 is an apocalyptic number.

4059383040 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 4059383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535394048).

4059383040 is an abundant number, since it is smaller than the sum of its proper divisors (11011405056).

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

4059383040 is an equidigital number, since it uses as much as digits as its factorization.

4059383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4059383040 is about 63713.2877820632. The cubic root of 4059383040 is about 1595.2178880345.

The spelling of 4059383040 in words is "four billion, fifty-nine million, three hundred eighty-three thousand, forty".