240305042032033 has 16 divisors (see below), whose sum is σ = 263125673838720. Its totient is φ = 217648328252800.

The previous prime is 240305042031953. The next prime is 240305042032067. The reversal of 240305042032033 is 330230240503042.

It is a cyclic number.

It is not a de Polignac number, because 240305042032033 - 2¹⁷ = 240305041900961 is a prime.

It is a super-2 number, since 2×240305042032033² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240305042031986 and 240305042032004.

It is not an unprimeable number, because it can be changed into a prime (240305042732033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33340468 + ... + 39902341.

It is an arithmetic number, because the mean of its divisors is an integer number (16445354614920).

Almost surely, 2^{240305042032033} is an apocalyptic number.

It is an amenable number.

240305042032033 is a deficient number, since it is larger than the sum of its proper divisors (22820631806687).

240305042032033 is a wasteful number, since it uses less digits than its factorization.

240305042032033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73243928.

The product of its (nonzero) digits is 51840, while the sum is 31.

Adding to 240305042032033 its reverse (330230240503042), we get a palindrome (570535282535075).

The spelling of 240305042032033 in words is "two hundred forty trillion, three hundred five billion, forty-two million, thirty-two thousand, thirty-three".