2433121043040 has 144 divisors (see below), whose sum is σ = 8303952305376. Its totient is φ = 648759859200.

The previous prime is 2433121042939. The next prime is 2433121043047. The reversal of 2433121043040 is 403401213342.

2433121043040 is a `hidden beast` number, since 2 + 4 + 331 + 21 + 0 + 4 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2433121042995 and 2433121043013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2433121043047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13491060 + ... + 13670220.

It is an arithmetic number, because the mean of its divisors is an integer number (57666335454).

Almost surely, 2^{2433121043040} is an apocalyptic number.

2433121043040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2433121043040 is an abundant number, since it is smaller than the sum of its proper divisors (5870831262336).

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

2433121043040 is a wasteful number, since it uses less digits than its factorization.

2433121043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188613 (or 188602 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2433121043040 its reverse (403401213342), we get a palindrome (2836522256382).

The spelling of 2433121043040 in words is "two trillion, four hundred thirty-three billion, one hundred twenty-one million, forty-three thousand, forty".