243413142013040 has 80 divisors (see below), whose sum is σ = 586985874919200. Its totient is φ = 93795805209600.

The previous prime is 243413142012979. The next prime is 243413142013109. The reversal of 243413142013040 is 40310241314342.

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

It is a super-3 number, since 3×243413142013040³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243413142012988 and 243413142013006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406800890 + ... + 407398809.

It is an arithmetic number, because the mean of its divisors is an integer number (7337323436490).

Almost surely, 2^{243413142013040} is an apocalyptic number.

243413142013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243413142013040 is an abundant number, since it is smaller than the sum of its proper divisors (343572732906160).

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

243413142013040 is a wasteful number, since it uses less digits than its factorization.

243413142013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814199850 (or 814199844 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 243413142013040 its reverse (40310241314342), we get a palindrome (283723383327382).

The spelling of 243413142013040 in words is "two hundred forty-three trillion, four hundred thirteen billion, one hundred forty-two million, thirteen thousand, forty".