241480719728640 has 2720 divisors, whose sum is σ = 1021124207220480. Its totient is φ = 53458551963648.

The previous prime is 241480719728623. The next prime is 241480719728641. The reversal of 241480719728640 is 46827917084142.

241480719728640 is a `hidden beast` number, since 2 + 4 + 1 + 480 + 7 + 1 + 9 + 72 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241480719728641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1349054300071 + ... + 1349054300249.

Almost surely, 2^{241480719728640} is an apocalyptic number.

241480719728640 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 241480719728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510562103610240).

241480719728640 is an abundant number, since it is smaller than the sum of its proper divisors (779643487491840).

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

241480719728640 is an equidigital number, since it uses as much as digits as its factorization.

241480719728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 241480719728640 in words is "two hundred forty-one trillion, four hundred eighty billion, seven hundred nineteen million, seven hundred twenty-eight thousand, six hundred forty".