6140042321400 has 288 divisors, whose sum is σ = 23171987835360. Its totient is φ = 1445682078720.

The previous prime is 6140042321341. The next prime is 6140042321407. The reversal of 6140042321400 is 41232400416.

It is a happy number.

6140042321400 is a `hidden beast` number, since 6 + 1 + 400 + 42 + 3 + 214 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140042321407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5166039 + ... + 6242438.

It is an arithmetic number, because the mean of its divisors is an integer number (80458291095).

Almost surely, 2^{6140042321400} is an apocalyptic number.

6140042321400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6140042321400 is an abundant number, since it is smaller than the sum of its proper divisors (17031945513960).

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

6140042321400 is a wasteful number, since it uses less digits than its factorization.

6140042321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408535 (or 11408523 counting only the distinct ones).

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

Adding to 6140042321400 its reverse (41232400416), we get a palindrome (6181274721816).

The spelling of 6140042321400 in words is "six trillion, one hundred forty billion, forty-two million, three hundred twenty-one thousand, four hundred".