241424040111440 has 80 divisors (see below), whose sum is σ = 561762224287056. Its totient is φ = 96491974656000.

The previous prime is 241424040111439. The next prime is 241424040111469. The reversal of 241424040111440 is 44111040424142.

241424040111440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14817141284416 + 226606898827024 = 3849304^2 + 15053468^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 241424040111397 and 241424040111406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3085922564 + ... + 3086000796.

Almost surely, 2^{241424040111440} is an apocalyptic number.

241424040111440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241424040111440 is an abundant number, since it is smaller than the sum of its proper divisors (320338184175616).

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

241424040111440 is a wasteful number, since it uses less digits than its factorization.

241424040111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108768 (or 108762 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 241424040111440 its reverse (44111040424142), we get a palindrome (285535080535582).

The spelling of 241424040111440 in words is "two hundred forty-one trillion, four hundred twenty-four billion, forty million, one hundred eleven thousand, four hundred forty".