23013442440 has 256 divisors, whose sum is σ = 77797324800. Its totient is φ = 6050633472.

The previous prime is 23013442433. The next prime is 23013442457. The reversal of 23013442440 is 4424431032.

It is a happy number.

23013442440 is a `hidden beast` number, since 230 + 1 + 3 + 4 + 424 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 49279087 + ... + 49279553.

It is an arithmetic number, because the mean of its divisors is an integer number (303895800).

Almost surely, 2^23013442440 is an apocalyptic number.

23013442440 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 23013442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38898662400).

23013442440 is an abundant number, since it is smaller than the sum of its proper divisors (54783882360).

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

23013442440 is a wasteful number, since it uses less digits than its factorization.

23013442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23013442440 its reverse (4424431032), we get a palindrome (27437873472).

The spelling of 23013442440 in words is "twenty-three billion, thirteen million, four hundred forty-two thousand, four hundred forty".