241424330400000 has 1944 divisors, whose sum is σ = 1012655034695304. Its totient is φ = 55080960000000.

The previous prime is 241424330399981. The next prime is 241424330400007. The reversal of 241424330400000 is 4033424142.

It is a happy number.

241424330400000 is a `hidden beast` number, since 2 + 4 + 14 + 243 + 3 + 0 + 400 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 209315153481984 + 32109176918016 = 14467728^2 + 5666496^2 .

It is not an unprimeable number, because it can be changed into a prime (241424330400007) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14810391850 + ... + 14810408150.

It is an arithmetic number, because the mean of its divisors is an integer number (520913083691).

Almost surely, 2^{241424330400000} is an apocalyptic number.

241424330400000 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 241424330400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506327517347652).

241424330400000 is an abundant number, since it is smaller than the sum of its proper divisors (771230704295304).

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

241424330400000 is a wasteful number, since it uses less digits than its factorization.

241424330400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16387 (or 16339 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 241424330400000 its reverse (4033424142), we get a palindrome (241428363824142).

The spelling of 241424330400000 in words is "two hundred forty-one trillion, four hundred twenty-four billion, three hundred thirty million, four hundred thousand".