4242313440 has 336 divisors, whose sum is σ = 15448654368. Its totient is φ = 1099588608.

The previous prime is 4242313429. The next prime is 4242313457. The reversal of 4242313440 is 443132424.

It is a happy number.

4242313440 is a `hidden beast` number, since 424 + 231 + 3 + 4 + 4 + 0 = 666.

4242313440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4315189 + ... + 4316171.

It is an arithmetic number, because the mean of its divisors is an integer number (45978138).

Almost surely, 2^4242313440 is an apocalyptic number.

4242313440 is a gapful number since it is divisible by the number (40) 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 4242313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724327184).

4242313440 is an abundant number, since it is smaller than the sum of its proper divisors (11206340928).

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

4242313440 is an equidigital number, since it uses as much as digits as its factorization.

4242313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1030 counting only the distinct ones).

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

The square root of 4242313440 is about 65133.0441481127. The cubic root of 4242313440 is about 1618.8287830750.

Adding to 4242313440 its reverse (443132424), we get a palindrome (4685445864).

The spelling of 4242313440 in words is "four billion, two hundred forty-two million, three hundred thirteen thousand, four hundred forty".