23040000000 has 384 divisors, whose sum is σ = 83198517480. Its totient is φ = 6144000000.

The previous prime is 23039999933. The next prime is 23040000029. The reversal of 23040000000 is 4032.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 13897580544 + 9142419456 = 117888^2 + 95616^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607999998 + ... + 4608000002.

Almost surely, 2^23040000000 is an apocalyptic number.

23040000000 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 23040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41599258740).

23040000000 is an abundant number, since it is smaller than the sum of its proper divisors (60158517480).

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

23040000000 is an frugal number, since it uses more digits than its factorization.

23040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 23040000000 its reverse (4032), we get a palindrome (23040004032).

The spelling of 23040000000 in words is "twenty-three billion, forty million", and thus it is an aban number and an uban number.