240310005312432 has 160 divisors (see below), whose sum is σ = 679519547965440. Its totient is φ = 72575881632000.

The previous prime is 240310005312407. The next prime is 240310005312473. The reversal of 240310005312432 is 234213500013042.

It is a super-2 number, since 2×240310005312432² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240310005312432.

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, 1098606369 + ... + 1098825087.

It is an arithmetic number, because the mean of its divisors is an integer number (4246997174784).

Almost surely, 2^{240310005312432} is an apocalyptic number.

240310005312432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240310005312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339759773982720).

240310005312432 is an abundant number, since it is smaller than the sum of its proper divisors (439209542653008).

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

240310005312432 is a wasteful number, since it uses less digits than its factorization.

240310005312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225743 (or 225737 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 240310005312432 its reverse (234213500013042), we get a palindrome (474523505325474).

The spelling of 240310005312432 in words is "two hundred forty trillion, three hundred ten billion, five million, three hundred twelve thousand, four hundred thirty-two".