6406041300 has 72 divisors (see below), whose sum is σ = 18601017792. Its totient is φ = 1702176000.

The previous prime is 6406041293. The next prime is 6406041307. The reversal of 6406041300 is 31406046.

It is an interprime number because it is at equal distance from previous prime (6406041293) and next prime (6406041307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406041307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46305 + ... + 122295.

Almost surely, 2^6406041300 is an apocalyptic number.

6406041300 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 6406041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300508896).

6406041300 is an abundant number, since it is smaller than the sum of its proper divisors (12194976492).

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

6406041300 is a wasteful number, since it uses less digits than its factorization.

6406041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76289 (or 76282 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6406041300 is about 80037.7492187280. The cubic root of 6406041300 is about 1857.2195420293.

Adding to 6406041300 its reverse (31406046), we get a palindrome (6437447346).

The spelling of 6406041300 in words is "six billion, four hundred six million, forty-one thousand, three hundred".