2433420340120 has 128 divisors (see below), whose sum is σ = 6845558883840. Its totient is φ = 756319703040.

The previous prime is 2433420340007. The next prime is 2433420340129. The reversal of 2433420340120 is 210430243342.

2433420340120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2433420340120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433420340129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31842 + ... + 2206321.

It is an arithmetic number, because the mean of its divisors is an integer number (53480928780).

Almost surely, 2^{2433420340120} is an apocalyptic number.

2433420340120 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 2433420340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422779441920).

2433420340120 is an abundant number, since it is smaller than the sum of its proper divisors (4412138543720).

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

2433420340120 is a wasteful number, since it uses less digits than its factorization.

2433420340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238545 (or 2238541 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2433420340120 its reverse (210430243342), we get a palindrome (2643850583462).

The spelling of 2433420340120 in words is "two trillion, four hundred thirty-three billion, four hundred twenty million, three hundred forty thousand, one hundred twenty".