6412540242240 has 336 divisors, whose sum is σ = 24073377344640. Its totient is φ = 1553794314240.

The previous prime is 6412540242221. The next prime is 6412540242259. The reversal of 6412540242240 is 422420452146.

6412540242240 is a `hidden beast` number, since 6 + 4 + 1 + 2 + 5 + 402 + 4 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (6412540242221) and next prime (6412540242259).

It is a super-2 number, since 2×6412540242240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6412540242195 and 6412540242204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66067666 + ... + 66164654.

Almost surely, 2^{6412540242240} is an apocalyptic number.

6412540242240 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 6412540242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12036688672320).

6412540242240 is an abundant number, since it is smaller than the sum of its proper divisors (17660837102400).

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

6412540242240 is a wasteful number, since it uses less digits than its factorization.

6412540242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99110 (or 99097 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 6412540242240 its reverse (422420452146), we get a palindrome (6834960694386).

The spelling of 6412540242240 in words is "six trillion, four hundred twelve billion, five hundred forty million, two hundred forty-two thousand, two hundred forty".