241325402400 has 864 divisors, whose sum is σ = 948809272320. Its totient is φ = 57480192000.

The previous prime is 241325402399. The next prime is 241325402407. The reversal of 241325402400 is 4204523142.

241325402400 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 254 + 0 + 2 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (241325402407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148873590 + ... + 148875210.

It is an arithmetic number, because the mean of its divisors is an integer number (1098158880).

Almost surely, 2^241325402400 is an apocalyptic number.

241325402400 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 241325402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474404636160).

241325402400 is an abundant number, since it is smaller than the sum of its proper divisors (707483869920).

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

241325402400 is a wasteful number, since it uses less digits than its factorization.

241325402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 241325402400 its reverse (4204523142), we get a palindrome (245529925542).

The spelling of 241325402400 in words is "two hundred forty-one billion, three hundred twenty-five million, four hundred two thousand, four hundred".