241689349440 has 504 divisors, whose sum is σ = 1044301614720. Its totient is φ = 50220656640.

The previous prime is 241689349439. The next prime is 241689349487. The reversal of 241689349440 is 44943986142.

241689349440 is a `hidden beast` number, since 2 + 4 + 1 + 68 + 93 + 494 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2389821 + ... + 2488899.

Almost surely, 2^241689349440 is an apocalyptic number.

241689349440 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 241689349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522150807360).

241689349440 is an abundant number, since it is smaller than the sum of its proper divisors (802612265280).

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

241689349440 is a wasteful number, since it uses less digits than its factorization.

241689349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99131 (or 99107 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 241689349440 in words is "two hundred forty-one billion, six hundred eighty-nine million, three hundred forty-nine thousand, four hundred forty".