2024044020400 has 120 divisors (see below), whose sum is σ = 4932494393904. Its totient is φ = 798074880000.

The previous prime is 2024044020373. The next prime is 2024044020409. The reversal of 2024044020400 is 40204404202.

It is not an unprimeable number, because it can be changed into a prime (2024044020409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9634884 + ... + 9842716.

Almost surely, 2^{2024044020400} is an apocalyptic number.

2024044020400 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 2024044020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466247196952).

2024044020400 is an abundant number, since it is smaller than the sum of its proper divisors (2908450373504).

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

2024044020400 is a wasteful number, since it uses less digits than its factorization.

2024044020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208199 (or 208188 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2024044020400 its reverse (40204404202), we get a palindrome (2064248424602).

The spelling of 2024044020400 in words is "two trillion, twenty-four billion, forty-four million, twenty thousand, four hundred".