240413434105200 has 120 divisors (see below), whose sum is σ = 771809542681008. Its totient is φ = 63969963939840.

The previous prime is 240413434105199. The next prime is 240413434105213. The reversal of 240413434105200 is 2501434314042.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218646927 + ... + 219743726.

Almost surely, 2^{240413434105200} is an apocalyptic number.

240413434105200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240413434105200 is an abundant number, since it is smaller than the sum of its proper divisors (531396108575808).

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

240413434105200 is a wasteful number, since it uses less digits than its factorization.

240413434105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438391131 (or 438391120 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 240413434105200 its reverse (2501434314042), we get a palindrome (242914868419242).

The spelling of 240413434105200 in words is "two hundred forty trillion, four hundred thirteen billion, four hundred thirty-four million, one hundred five thousand, two hundred".