20241002334400 has 168 divisors, whose sum is σ = 50629040159040. Its totient is φ = 7962565632000.

The previous prime is 20241002334359. The next prime is 20241002334409. The reversal of 20241002334400 is 443320014202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20241002334409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335062820 + ... + 1335077980.

It is an arithmetic number, because the mean of its divisors is an integer number (301363334280).

Almost surely, 2^{20241002334400} is an apocalyptic number.

20241002334400 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 20241002334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25314520079520).

20241002334400 is an abundant number, since it is smaller than the sum of its proper divisors (30388037824640).

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

20241002334400 is a wasteful number, since it uses less digits than its factorization.

20241002334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28923 (or 28908 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 20241002334400 its reverse (443320014202), we get a palindrome (20684322348602).

The spelling of 20241002334400 in words is "twenty trillion, two hundred forty-one billion, two million, three hundred thirty-four thousand, four hundred".