241221431305020 has 96 divisors (see below), whose sum is σ = 682151157366336. Its totient is φ = 63684734976000.

The previous prime is 241221431304967. The next prime is 241221431305081. The reversal of 241221431305020 is 20503134122142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93634812 + ... + 96176508.

It is an arithmetic number, because the mean of its divisors is an integer number (7105741222566).

Almost surely, 2^{241221431305020} is an apocalyptic number.

241221431305020 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 241221431305020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341075578683168).

241221431305020 is an abundant number, since it is smaller than the sum of its proper divisors (440929726061316).

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

241221431305020 is a wasteful number, since it uses less digits than its factorization.

241221431305020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557471 (or 2557469 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 241221431305020 its reverse (20503134122142), we get a palindrome (261724565427162).

The spelling of 241221431305020 in words is "two hundred forty-one trillion, two hundred twenty-one billion, four hundred thirty-one million, three hundred five thousand, twenty".