23205213143040 has 256 divisors, whose sum is σ = 74490293787840. Its totient is φ = 6168494735360.

The previous prime is 23205213143033. The next prime is 23205213143069. The reversal of 23205213143040 is 4034131250232.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23205213142989 and 23205213143007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155737375 + ... + 155886305.

Almost surely, 2^{23205213143040} is an apocalyptic number.

23205213143040 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 23205213143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37245146893920).

23205213143040 is an abundant number, since it is smaller than the sum of its proper divisors (51285080644800).

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

23205213143040 is an equidigital number, since it uses as much as digits as its factorization.

23205213143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149286 (or 149258 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 23205213143040 its reverse (4034131250232), we get a palindrome (27239344393272).

The spelling of 23205213143040 in words is "twenty-three trillion, two hundred five billion, two hundred thirteen million, one hundred forty-three thousand, forty".