241479199104 has 512 divisors, whose sum is σ = 796207104000. Its totient is φ = 63828172800.

The previous prime is 241479199019. The next prime is 241479199109. The reversal of 241479199104 is 401991974142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241479199109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73196047 + ... + 73199345.

It is an arithmetic number, because the mean of its divisors is an integer number (1555092000).

Almost surely, 2^241479199104 is an apocalyptic number.

241479199104 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 241479199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398103552000).

241479199104 is an abundant number, since it is smaller than the sum of its proper divisors (554727904896).

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

241479199104 is a wasteful number, since it uses less digits than its factorization.

241479199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 241479199104 in words is "two hundred forty-one billion, four hundred seventy-nine million, one hundred ninety-nine thousand, one hundred four".