23434400440 has 64 divisors (see below), whose sum is σ = 57616220160. Its totient is φ = 8507464320.

The previous prime is 23434400413. The next prime is 23434400489. The reversal of 23434400440 is 4400443432.

It is a super-2 number, since 2×23434400440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23434400399 and 23434400408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 223209 + ... + 310951.

It is an arithmetic number, because the mean of its divisors is an integer number (900253440).

Almost surely, 2^23434400440 is an apocalyptic number.

23434400440 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 23434400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28808110080).

23434400440 is an abundant number, since it is smaller than the sum of its proper divisors (34181819720).

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

23434400440 is a wasteful number, since it uses less digits than its factorization.

23434400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88372 (or 88368 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 23434400440 its reverse (4400443432), we get a palindrome (27834843872).

The spelling of 23434400440 in words is "twenty-three billion, four hundred thirty-four million, four hundred thousand, four hundred forty".