241907878128 has 480 divisors, whose sum is σ = 784351226880. Its totient is φ = 63828172800.

The previous prime is 241907878117. The next prime is 241907878193. The reversal of 241907878128 is 821878709142.

It is a happy number.

241907878128 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 621870958 + ... + 621871346.

It is an arithmetic number, because the mean of its divisors is an integer number (1634065056).

Almost surely, 2^241907878128 is an apocalyptic number.

241907878128 is a gapful number since it is divisible by the number (28) 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 241907878128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392175613440).

241907878128 is an abundant number, since it is smaller than the sum of its proper divisors (542443348752).

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

241907878128 is a wasteful number, since it uses less digits than its factorization.

241907878128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 57.

The spelling of 241907878128 in words is "two hundred forty-one billion, nine hundred seven million, eight hundred seventy-eight thousand, one hundred twenty-eight".