6427043454240 has 288 divisors, whose sum is σ = 23091634500480. Its totient is φ = 1623321243648.

The previous prime is 6427043454239. The next prime is 6427043454241. The reversal of 6427043454240 is 424543407246.

6427043454240 is a `hidden beast` number, since 6 + 4 + 2 + 70 + 4 + 34 + 542 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6427043454239) and next prime (6427043454241).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6427043454241) by changing a digit.

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, 139868709 + ... + 139914651.

It is an arithmetic number, because the mean of its divisors is an integer number (80179286460).

Almost surely, 2^{6427043454240} is an apocalyptic number.

6427043454240 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 6427043454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545817250240).

6427043454240 is an abundant number, since it is smaller than the sum of its proper divisors (16664591046240).

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

6427043454240 is a wasteful number, since it uses less digits than its factorization.

6427043454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51096 (or 51085 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 45.

The spelling of 6427043454240 in words is "six trillion, four hundred twenty-seven billion, forty-three million, four hundred fifty-four thousand, two hundred forty".