241301442400 has 144 divisors (see below), whose sum is σ = 594786931200. Its totient is φ = 95588559360.

The previous prime is 241301442383. The next prime is 241301442401. The reversal of 241301442400 is 4244103142.

It is a super-2 number, since 2×241301442400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241301442401) 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, 48814329 + ... + 48819271.

It is an arithmetic number, because the mean of its divisors is an integer number (4130464800).

Almost surely, 2^241301442400 is an apocalyptic number.

241301442400 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 241301442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297393465600).

241301442400 is an abundant number, since it is smaller than the sum of its proper divisors (353485488800).

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

241301442400 is a wasteful number, since it uses less digits than its factorization.

241301442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5541 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 241301442400 its reverse (4244103142), we get a palindrome (245545545542).

The spelling of 241301442400 in words is "two hundred forty-one billion, three hundred one million, four hundred forty-two thousand, four hundred".