241403434400 has 144 divisors (see below), whose sum is σ = 596077473600. Its totient is φ = 95457484800.

The previous prime is 241403434399. The next prime is 241403434409. The reversal of 241403434400 is 4434304142.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (241403434409) 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, 131841485 + ... + 131843315.

It is an arithmetic number, because the mean of its divisors is an integer number (4139426900).

Almost surely, 2^241403434400 is an apocalyptic number.

241403434400 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 241403434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298038736800).

241403434400 is an abundant number, since it is smaller than the sum of its proper divisors (354674039200).

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

241403434400 is a wasteful number, since it uses less digits than its factorization.

241403434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3647 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 241403434400 its reverse (4434304142), we get a palindrome (245837738542).

The spelling of 241403434400 in words is "two hundred forty-one billion, four hundred three million, four hundred thirty-four thousand, four hundred".