241435305542112 has 192 divisors, whose sum is σ = 717211066844160. Its totient is φ = 70474252492800.

The previous prime is 241435305542069. The next prime is 241435305542129. The reversal of 241435305542112 is 211245503534142.

241435305542112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31873213 + ... + 38713980.

It is an arithmetic number, because the mean of its divisors is an integer number (3735474306480).

Almost surely, 2^{241435305542112} is an apocalyptic number.

241435305542112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

241435305542112 is an abundant number, since it is smaller than the sum of its proper divisors (475775761302048).

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

241435305542112 is a wasteful number, since it uses less digits than its factorization.

241435305542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70587337 (or 70587329 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 241435305542112 in words is "two hundred forty-one trillion, four hundred thirty-five billion, three hundred five million, five hundred forty-two thousand, one hundred twelve".