2023413024000 has 288 divisors, whose sum is σ = 6834696785280. Its totient is φ = 530429952000.

The previous prime is 2023413023977. The next prime is 2023413024007. The reversal of 2023413024000 is 4203143202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023413024007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5485380 + ... + 5842620.

It is an arithmetic number, because the mean of its divisors is an integer number (23731586060).

Almost surely, 2^{2023413024000} is an apocalyptic number.

2023413024000 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 2023413024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417348392640).

2023413024000 is an abundant number, since it is smaller than the sum of its proper divisors (4811283761280).

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

2023413024000 is an equidigital number, since it uses as much as digits as its factorization.

2023413024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357334 (or 357310 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2023413024000 its reverse (4203143202), we get a palindrome (2027616167202).

The spelling of 2023413024000 in words is "two trillion, twenty-three billion, four hundred thirteen million, twenty-four thousand".