241252333152040 has 256 divisors, whose sum is σ = 653326450099200. Its totient is φ = 78431590809600.

The previous prime is 241252333152031. The next prime is 241252333152053. The reversal of 241252333152040 is 40251333252142.

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 63 ways as a sum of consecutive naturals, for example, 147351510 + ... + 148979770.

It is an arithmetic number, because the mean of its divisors is an integer number (2552056445700).

Almost surely, 2^{241252333152040} is an apocalyptic number.

241252333152040 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 241252333152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326663225049600).

241252333152040 is an abundant number, since it is smaller than the sum of its proper divisors (412074116947160).

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

241252333152040 is a wasteful number, since it uses less digits than its factorization.

241252333152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628636 (or 1628632 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 241252333152040 in words is "two hundred forty-one trillion, two hundred fifty-two billion, three hundred thirty-three million, one hundred fifty-two thousand, forty".