2023332010400 has 288 divisors, whose sum is σ = 5139998519040. Its totient is φ = 777199288320.

The previous prime is 2023332010397. The next prime is 2023332010507. The reversal of 2023332010400 is 40102333202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 698421752 + ... + 698424648.

It is an arithmetic number, because the mean of its divisors is an integer number (17847217080).

Almost surely, 2^{2023332010400} is an apocalyptic number.

2023332010400 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 2023332010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569999259520).

2023332010400 is an abundant number, since it is smaller than the sum of its proper divisors (3116666508640).

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

2023332010400 is a wasteful number, since it uses less digits than its factorization.

2023332010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2023332010400 its reverse (40102333202), we get a palindrome (2063434343602).

The spelling of 2023332010400 in words is "two trillion, twenty-three billion, three hundred thirty-two million, ten thousand, four hundred".