241478763600 has 240 divisors, whose sum is σ = 804952051200. Its totient is φ = 61829967360.

The previous prime is 241478763587. The next prime is 241478763641. The reversal of 241478763600 is 6367874142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 241478763600.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3004741 + ... + 3084059.

It is an arithmetic number, because the mean of its divisors is an integer number (3353966880).

Almost surely, 2^241478763600 is an apocalyptic number.

241478763600 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 241478763600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402476025600).

241478763600 is an abundant number, since it is smaller than the sum of its proper divisors (563473287600).

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

241478763600 is a wasteful number, since it uses less digits than its factorization.

241478763600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79442 (or 79431 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 241478763600 in words is "two hundred forty-one billion, four hundred seventy-eight million, seven hundred sixty-three thousand, six hundred".