141121002402400 has 288 divisors, whose sum is σ = 360371584742400. Its totient is φ = 53910458757120.

The previous prime is 141121002402323. The next prime is 141121002402403. The reversal of 141121002402400 is 4204200121141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141121002402403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1695981597 + ... + 1696064803.

It is an arithmetic number, because the mean of its divisors is an integer number (1251290224800).

Almost surely, 2^{141121002402400} is an apocalyptic number.

141121002402400 is a gapful number since it is divisible by the number (10) 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 141121002402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180185792371200).

141121002402400 is an abundant number, since it is smaller than the sum of its proper divisors (219250582340000).

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

141121002402400 is a wasteful number, since it uses less digits than its factorization.

141121002402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84366 (or 84353 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 141121002402400 its reverse (4204200121141), we get a palindrome (145325202523541).

The spelling of 141121002402400 in words is "one hundred forty-one trillion, one hundred twenty-one billion, two million, four hundred two thousand, four hundred".