241513021440 has 600 divisors, whose sum is σ = 917202592152. Its totient is φ = 60586721280.

The previous prime is 241513021429. The next prime is 241513021441. The reversal of 241513021440 is 44120315142.

241513021440 is a `hidden beast` number, since 2 + 4 + 1 + 513 + 0 + 2 + 144 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113154195456 + 128358825984 = 336384^2 + 358272^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (241513021441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112802770 + ... + 112804910.

Almost surely, 2^241513021440 is an apocalyptic number.

241513021440 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 241513021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458601296076).

241513021440 is an abundant number, since it is smaller than the sum of its proper divisors (675689570712).

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

241513021440 is an equidigital number, since it uses as much as digits as its factorization.

241513021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 241513021440 its reverse (44120315142), we get a palindrome (285633336582).

The spelling of 241513021440 in words is "two hundred forty-one billion, five hundred thirteen million, twenty-one thousand, four hundred forty".