2023324004400 has 120 divisors (see below), whose sum is σ = 6485847505680. Its totient is φ = 539181265920.

The previous prime is 2023324004393. The next prime is 2023324004459. The reversal of 2023324004400 is 44004233202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2023324004400³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 1163386 + ... + 2323814.

It is an arithmetic number, because the mean of its divisors is an integer number (54048729214).

Almost surely, 2^{2023324004400} is an apocalyptic number.

2023324004400 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 2023324004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242923752840).

2023324004400 is an abundant number, since it is smaller than the sum of its proper divisors (4462523501280).

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

2023324004400 is a wasteful number, since it uses less digits than its factorization.

2023324004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161903 (or 1161892 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 2023324004400 its reverse (44004233202), we get a palindrome (2067328237602).

The spelling of 2023324004400 in words is "two trillion, twenty-three billion, three hundred twenty-four million, four thousand, four hundred".