2423351430400 has 108 divisors (see below), whose sum is σ = 6013137845484. Its totient is φ = 966922240000.

The previous prime is 2423351430371. The next prime is 2423351430443. The reversal of 2423351430400 is 40341533242.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 59974050816 + 2363377379584 = 244896^2 + 1537328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2094270 + ... + 3038530.

It is an arithmetic number, because the mean of its divisors is an integer number (55677202273).

Almost surely, 2^{2423351430400} is an apocalyptic number.

2423351430400 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 2423351430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006568922742).

2423351430400 is an abundant number, since it is smaller than the sum of its proper divisors (3589786415084).

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

2423351430400 is an equidigital number, since it uses as much as digits as its factorization.

2423351430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944688 (or 944669 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 2423351430400 its reverse (40341533242), we get a palindrome (2463692963642).

The spelling of 2423351430400 in words is "two trillion, four hundred twenty-three billion, three hundred fifty-one million, four hundred thirty thousand, four hundred".