4009325040 has 840 divisors, whose sum is σ = 17242923168. Its totient is φ = 862202880.

The previous prime is 4009325039. The next prime is 4009325041. The reversal of 4009325040 is 405239004.

4009325040 is a `hidden beast` number, since 400 + 9 + 3 + 250 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4009325039) and next prime (4009325041).

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 4009324995 and 4009325013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009325041) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 65726610 + ... + 65726670.

Almost surely, 2^4009325040 is an apocalyptic number.

4009325040 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 4009325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621461584).

4009325040 is an abundant number, since it is smaller than the sum of its proper divisors (13233598128).

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

4009325040 is a wasteful number, since it uses less digits than its factorization.

4009325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4009325040 is about 63319.2312019026. The cubic root of 4009325040 is about 1588.6336428260.

The spelling of 4009325040 in words is "four billion, nine million, three hundred twenty-five thousand, forty".