6134040000 has 420 divisors, whose sum is σ = 23983416600. Its totient is φ = 1486080000.

The previous prime is 6134039987. The next prime is 6134040001. The reversal of 6134040000 is 404316.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6134040001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3959226 + ... + 3960774.

Almost surely, 2^6134040000 is an apocalyptic number.

6134040000 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 6134040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11991708300).

6134040000 is an abundant number, since it is smaller than the sum of its proper divisors (17849376600).

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

6134040000 is a wasteful number, since it uses less digits than its factorization.

6134040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6134040000 is about 78320.1123594700. The cubic root of 6134040000 is about 1830.5525519483.

Adding to 6134040000 its reverse (404316), we get a palindrome (6134444316).

The spelling of 6134040000 in words is "six billion, one hundred thirty-four million, forty thousand".