240304012240032 has 144 divisors (see below), whose sum is σ = 751589145216000. Its totient is φ = 72366510998016.

The previous prime is 240304012240027. The next prime is 240304012240037. The reversal of 240304012240032 is 230042210403042.

240304012240032 is a `hidden beast` number, since 2 + 4 + 0 + 3 + 0 + 401 + 224 + 0 + 0 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (240304012240027) and next prime (240304012240037).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×240304012240032² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240304012239978 and 240304012240005.

It is not an unprimeable number, because it can be changed into a prime (240304012240037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682630032 + ... + 682981967.

It is an arithmetic number, because the mean of its divisors is an integer number (5219369064000).

Almost surely, 2^{240304012240032} is an apocalyptic number.

It is an amenable number.

240304012240032 is an abundant number, since it is smaller than the sum of its proper divisors (511285132975968).

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

240304012240032 is a wasteful number, since it uses less digits than its factorization.

240304012240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365612075 (or 1365612064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 240304012240032 its reverse (230042210403042), we get a palindrome (470346222643074).

The spelling of 240304012240032 in words is "two hundred forty trillion, three hundred four billion, twelve million, two hundred forty thousand, thirty-two".