240314312420 has 144 divisors (see below), whose sum is σ = 639059541120. Its totient is φ = 74286471168.

The previous prime is 240314312411. The next prime is 240314312423. The reversal of 240314312420 is 24213413042.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 240314312420.

It is not an unprimeable number, because it can be changed into a prime (240314312423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 899276 + ... + 1135484.

It is an arithmetic number, because the mean of its divisors is an integer number (4437913480).

Almost surely, 2^240314312420 is an apocalyptic number.

240314312420 is a gapful number since it is divisible by the number (20) 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 240314312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319529770560).

240314312420 is an abundant number, since it is smaller than the sum of its proper divisors (398745228700).

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

240314312420 is a wasteful number, since it uses less digits than its factorization.

240314312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236294 (or 236279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 240314312420 its reverse (24213413042), we get a palindrome (264527725462).

The spelling of 240314312420 in words is "two hundred forty billion, three hundred fourteen million, three hundred twelve thousand, four hundred twenty".