643114041240 has 128 divisors (see below), whose sum is σ = 2228544990720. Its totient is φ = 146735462400.

The previous prime is 643114041239. The next prime is 643114041247. The reversal of 643114041240 is 42140411346.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 643114041198 and 643114041207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643114041247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14307196 + ... + 14352075.

It is an arithmetic number, because the mean of its divisors is an integer number (17410507740).

Almost surely, 2^643114041240 is an apocalyptic number.

643114041240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643114041240 is an abundant number, since it is smaller than the sum of its proper divisors (1585430949480).

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

643114041240 is a wasteful number, since it uses less digits than its factorization.

643114041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28659313 (or 28659309 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 643114041240 its reverse (42140411346), we get a palindrome (685254452586).

The spelling of 643114041240 in words is "six hundred forty-three billion, one hundred fourteen million, forty-one thousand, two hundred forty".