240305201141340 has 96 divisors (see below), whose sum is σ = 673047540373824. Its totient is φ = 64063010805760.

The previous prime is 240305201141321. The next prime is 240305201141393. The reversal of 240305201141340 is 43141102503042.

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 = 240305201141298 and 240305201141307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3700557352 + ... + 3700622288.

It is an arithmetic number, because the mean of its divisors is an integer number (7010911878894).

Almost surely, 2^{240305201141340} is an apocalyptic number.

240305201141340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240305201141340 is an abundant number, since it is smaller than the sum of its proper divisors (432742339232484).

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

240305201141340 is a wasteful number, since it uses less digits than its factorization.

240305201141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81687 (or 81685 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 240305201141340 its reverse (43141102503042), we get a palindrome (283446303644382).

The spelling of 240305201141340 in words is "two hundred forty trillion, three hundred five billion, two hundred one million, one hundred forty-one thousand, three hundred forty".