6140413440 has 800 divisors, whose sum is σ = 26132657760. Its totient is φ = 1365590016.

The previous prime is 6140413417. The next prime is 6140413453. The reversal of 6140413440 is 443140416.

6140413440 is a `hidden beast` number, since 614 + 0 + 4 + 1 + 3 + 4 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165957102 + ... + 165957138.

Almost surely, 2^6140413440 is an apocalyptic number.

6140413440 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 6140413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13066328880).

6140413440 is an abundant number, since it is smaller than the sum of its proper divisors (19992244320).

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

6140413440 is an frugal number, since it uses more digits than its factorization.

6140413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

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

The square root of 6140413440 is about 78360.7901950969. The cubic root of 6140413440 is about 1831.1863310149.

Adding to 6140413440 its reverse (443140416), we get a palindrome (6583553856).

The spelling of 6140413440 in words is "six billion, one hundred forty million, four hundred thirteen thousand, four hundred forty".