6314400240 has 80 divisors (see below), whose sum is σ = 19586924928. Its totient is φ = 1682783488.

The previous prime is 6314400203. The next prime is 6314400259. The reversal of 6314400240 is 420044136.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6314400240.

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 15 ways as a sum of consecutive naturals, for example, 421519 + ... + 436241.

Almost surely, 2^6314400240 is an apocalyptic number.

6314400240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6314400240 is an abundant number, since it is smaller than the sum of its proper divisors (13272524688).

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

6314400240 is a wasteful number, since it uses less digits than its factorization.

6314400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16526 (or 16520 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 6314400240 is about 79463.2005396209. The cubic root of 6314400240 is about 1848.3208762357.

Adding to 6314400240 its reverse (420044136), we get a palindrome (6734444376).

The spelling of 6314400240 in words is "six billion, three hundred fourteen million, four hundred thousand, two hundred forty".