23405145400 has 192 divisors, whose sum is σ = 67125703680. Its totient is φ = 7390656000.

The previous prime is 23405145373. The next prime is 23405145431. The reversal of 23405145400 is 454150432.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 9954225 + ... + 9956575.

It is an arithmetic number, because the mean of its divisors is an integer number (349613040).

Almost surely, 2^23405145400 is an apocalyptic number.

23405145400 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 23405145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33562851840).

23405145400 is an abundant number, since it is smaller than the sum of its proper divisors (43720558280).

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

23405145400 is a wasteful number, since it uses less digits than its factorization.

23405145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 23405145400 its reverse (454150432), we get a palindrome (23859295832).

The spelling of 23405145400 in words is "twenty-three billion, four hundred five million, one hundred forty-five thousand, four hundred".