23430314440 has 128 divisors (see below), whose sum is σ = 57616272000. Its totient is φ = 8523491328.

The previous prime is 23430314399. The next prime is 23430314513. The reversal of 23430314440 is 4441303432.

It is a junction number, because it is equal to n+sod(n) for n = 23430314399 and 23430314408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16058431 + ... + 16059889.

It is an arithmetic number, because the mean of its divisors is an integer number (450127125).

Almost surely, 2^23430314440 is an apocalyptic number.

23430314440 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 23430314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28808136000).

23430314440 is an abundant number, since it is smaller than the sum of its proper divisors (34185957560).

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

23430314440 is a wasteful number, since it uses less digits than its factorization.

23430314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1915 counting only the distinct ones).

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

Adding to 23430314440 its reverse (4441303432), we get a palindrome (27871617872).

The spelling of 23430314440 in words is "twenty-three billion, four hundred thirty million, three hundred fourteen thousand, four hundred forty".