4230400240 has 80 divisors (see below), whose sum is σ = 10757748960. Its totient is φ = 1534325760.

The previous prime is 4230400211. The next prime is 4230400253. The reversal of 4230400240 is 420040324.

4230400240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343306 + ... + 355414.

It is an arithmetic number, because the mean of its divisors is an integer number (134471862).

Almost surely, 2^4230400240 is an apocalyptic number.

4230400240 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 4230400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378874480).

4230400240 is an abundant number, since it is smaller than the sum of its proper divisors (6527348720).

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

4230400240 is a wasteful number, since it uses less digits than its factorization.

4230400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12524 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4230400240 is about 65041.5270423443. The cubic root of 4230400240 is about 1617.3120389762.

Adding to 4230400240 its reverse (420040324), we get a palindrome (4650440564).

The spelling of 4230400240 in words is "four billion, two hundred thirty million, four hundred thousand, two hundred forty".