2432123430440 has 96 divisors (see below), whose sum is σ = 6031376951040. Its totient is φ = 881998043520.

The previous prime is 2432123430427. The next prime is 2432123430467. The reversal of 2432123430440 is 440343212342.

It is a junction number, because it is equal to n+sod(n) for n = 2432123430397 and 2432123430406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091669 + ... + 2460891.

It is an arithmetic number, because the mean of its divisors is an integer number (62826843240).

Almost surely, 2^{2432123430440} is an apocalyptic number.

2432123430440 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 2432123430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015688475520).

2432123430440 is an abundant number, since it is smaller than the sum of its proper divisors (3599253520600).

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

2432123430440 is a wasteful number, since it uses less digits than its factorization.

2432123430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369623 (or 1369608 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2432123430440 its reverse (440343212342), we get a palindrome (2872466642782).

The spelling of 2432123430440 in words is "two trillion, four hundred thirty-two billion, one hundred twenty-three million, four hundred thirty thousand, four hundred forty".