241222352241024 has 512 divisors, whose sum is σ = 905729351040000. Its totient is φ = 62655153039360.

The previous prime is 241222352241023. The next prime is 241222352241037. The reversal of 241222352241024 is 420142253222142.

241222352241024 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 23 + 522 + 4 + 102 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 241222352241024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241222352241023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3789802 + ... + 22289174.

It is an arithmetic number, because the mean of its divisors is an integer number (1769002638750).

Almost surely, 2^{241222352241024} is an apocalyptic number.

241222352241024 is a gapful number since it is divisible by the number (24) 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 241222352241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452864675520000).

241222352241024 is an abundant number, since it is smaller than the sum of its proper divisors (664506998798976).

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

241222352241024 is a wasteful number, since it uses less digits than its factorization.

241222352241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18499428 (or 18499396 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 241222352241024 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, two hundred forty-one thousand, twenty-four".