241832394720 has 672 divisors, whose sum is σ = 983835357120. Its totient is φ = 55001825280.

The previous prime is 241832394691. The next prime is 241832394733. The reversal of 241832394720 is 27493238142.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 196771066 + ... + 196772294.

It is an arithmetic number, because the mean of its divisors is an integer number (1464040710).

Almost surely, 2^241832394720 is an apocalyptic number.

241832394720 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 241832394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491917678560).

241832394720 is an abundant number, since it is smaller than the sum of its proper divisors (742002962400).

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

241832394720 is a wasteful number, since it uses less digits than its factorization.

241832394720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 241832394720 in words is "two hundred forty-one billion, eight hundred thirty-two million, three hundred ninety-four thousand, seven hundred twenty".