4093439040 has 336 divisors, whose sum is σ = 14930323200. Its totient is φ = 1026514944.

The previous prime is 4093439039. The next prime is 4093439087. The reversal of 4093439040 is 409343904.

It is a super-2 number, since 2×4093439040² = 33512486348392243200, which contains 22 as substring.

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 = 4093438986 and 4093439004.

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, 13077924 + ... + 13078236.

Almost surely, 2^4093439040 is an apocalyptic number.

4093439040 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 4093439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465161600).

4093439040 is an abundant number, since it is smaller than the sum of its proper divisors (10836884160).

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

4093439040 is a wasteful number, since it uses less digits than its factorization.

4093439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4093439040 is about 63979.9893716778. The cubic root of 4093439040 is about 1599.6664721460. Note that the first 3 decimals are identical.

The spelling of 4093439040 in words is "four billion, ninety-three million, four hundred thirty-nine thousand, forty".