6433242132240 has 480 divisors, whose sum is σ = 28120076449920. Its totient is φ = 1336777344000.

The previous prime is 6433242132217. The next prime is 6433242132253. The reversal of 6433242132240 is 422312423346.

6433242132240 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 2 + 421 + 3 + 224 + 0 = 666.

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 = 6433242132195 and 6433242132204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1598611 + ... + 3927090.

It is an arithmetic number, because the mean of its divisors is an integer number (58583492604).

Almost surely, 2^{6433242132240} is an apocalyptic number.

6433242132240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6433242132240 is an abundant number, since it is smaller than the sum of its proper divisors (21686834317680).

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

6433242132240 is a wasteful number, since it uses less digits than its factorization.

6433242132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525748 (or 5525729 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 6433242132240 its reverse (422312423346), we get a palindrome (6855554555586).

The spelling of 6433242132240 in words is "six trillion, four hundred thirty-three billion, two hundred forty-two million, one hundred thirty-two thousand, two hundred forty".