241947062353920 has 1920 divisors, whose sum is σ = 989288681472000. Its totient is φ = 50053329715200.

The previous prime is 241947062353907. The next prime is 241947062353933. The reversal of 241947062353920 is 29353260749142.

It is an interprime number because it is at equal distance from previous prime (241947062353907) and next prime (241947062353933).

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288375520861 + ... + 288375521699.

It is an arithmetic number, because the mean of its divisors is an integer number (515254521600).

Almost surely, 2^{241947062353920} is an apocalyptic number.

241947062353920 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 241947062353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494644340736000).

241947062353920 is an abundant number, since it is smaller than the sum of its proper divisors (747341619118080).

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

241947062353920 is an equidigital number, since it uses as much as digits as its factorization.

241947062353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 241947062353920 in words is "two hundred forty-one trillion, nine hundred forty-seven billion, sixty-two million, three hundred fifty-three thousand, nine hundred twenty".