6038040240 has 320 divisors, whose sum is σ = 21306672000. Its totient is φ = 1571291136.

The previous prime is 6038040233. The next prime is 6038040241. The reversal of 6038040240 is 420408306.

6038040240 is a `hidden beast` number, since 6 + 0 + 380 + 40 + 240 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6038040241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23494192 + ... + 23494448.

It is an arithmetic number, because the mean of its divisors is an integer number (66583350).

Almost surely, 2^6038040240 is an apocalyptic number.

6038040240 is a gapful number since it is divisible by the number (60) 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 6038040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10653336000).

6038040240 is an abundant number, since it is smaller than the sum of its proper divisors (15268631760).

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

6038040240 is a wasteful number, since it uses less digits than its factorization.

6038040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

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

The square root of 6038040240 is about 77704.8276492523. The cubic root of 6038040240 is about 1820.9527113591.

Adding to 6038040240 its reverse (420408306), we get a palindrome (6458448546).

The spelling of 6038040240 in words is "six billion, thirty-eight million, forty thousand, two hundred forty".