241404441222400 has 216 divisors, whose sum is σ = 606065124583800. Its totient is φ = 95188168704000.

The previous prime is 241404441222383. The next prime is 241404441222403. The reversal of 241404441222400 is 4222144404142.

It can be written as a sum of positive squares in 12 ways, for example, as 37207657636864 + 204196783585536 = 6099808^2 + 14289744^2 .

It is a super-2 number, since 2×241404441222400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241404441222403) 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, 147210186 + ... + 148841014.

Almost surely, 2^{241404441222400} is an apocalyptic number.

241404441222400 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 241404441222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303032562291900).

241404441222400 is an abundant number, since it is smaller than the sum of its proper divisors (364660683361400).

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

241404441222400 is a wasteful number, since it uses less digits than its factorization.

241404441222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631185 (or 1631166 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

Adding to 241404441222400 its reverse (4222144404142), we get a palindrome (245626585626542).

The spelling of 241404441222400 in words is "two hundred forty-one trillion, four hundred four billion, four hundred forty-one million, two hundred twenty-two thousand, four hundred".