23388769440 has 336 divisors, whose sum is σ = 83291846400. Its totient is φ = 6203506176.

The previous prime is 23388769409. The next prime is 23388769441. The reversal of 23388769440 is 4496788332.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (23388769441) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 27876541 + ... + 27877379.

It is an arithmetic number, because the mean of its divisors is an integer number (247892400).

Almost surely, 2^23388769440 is an apocalyptic number.

23388769440 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 23388769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41645923200).

23388769440 is an abundant number, since it is smaller than the sum of its proper divisors (59903076960).

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

23388769440 is an equidigital number, since it uses as much as digits as its factorization.

23388769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

It can be divided in two parts, 2338 and 8769440, that added together give a palindrome (8771778).

The spelling of 23388769440 in words is "twenty-three billion, three hundred eighty-eight million, seven hundred sixty-nine thousand, four hundred forty".