6340041300 has 72 divisors (see below), whose sum is σ = 18372261600. Its totient is φ = 1688059520.

The previous prime is 6340041289. The next prime is 6340041311. The reversal of 6340041300 is 31400436.

It is an interprime number because it is at equal distance from previous prime (6340041289) and next prime (6340041311).

It is a super-2 number, since 2×6340041300² = 80392247371411380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181666 + ... + 213734.

It is an arithmetic number, because the mean of its divisors is an integer number (255170300).

Almost surely, 2^6340041300 is an apocalyptic number.

6340041300 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 6340041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186130800).

6340041300 is an abundant number, since it is smaller than the sum of its proper divisors (12032220300).

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

6340041300 is a wasteful number, since it uses less digits than its factorization.

6340041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32745 (or 32738 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6340041300 is about 79624.3762926907. The cubic root of 6340041300 is about 1850.8193400180.

Adding to 6340041300 its reverse (31400436), we get a palindrome (6371441736).

The spelling of 6340041300 in words is "six billion, three hundred forty million, forty-one thousand, three hundred".