205411314342000 has 320 divisors, whose sum is σ = 714067696742400. Its totient is φ = 50500423296000.

The previous prime is 205411314341969. The next prime is 205411314342007. The reversal of 205411314342000 is 243413114502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205411314342007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61634401 + ... + 64881599.

It is an arithmetic number, because the mean of its divisors is an integer number (2231461552320).

Almost surely, 2^{205411314342000} is an apocalyptic number.

205411314342000 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 205411314342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357033848371200).

205411314342000 is an abundant number, since it is smaller than the sum of its proper divisors (508656382400400).

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

205411314342000 is a wasteful number, since it uses less digits than its factorization.

205411314342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248049 (or 3248033 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 205411314342000 its reverse (243413114502), we get a palindrome (205654727456502).

The spelling of 205411314342000 in words is "two hundred five trillion, four hundred eleven billion, three hundred fourteen million, three hundred forty-two thousand".