1205203241440 has 96 divisors (see below), whose sum is σ = 3288851493984. Its totient is φ = 412475965440.

The previous prime is 1205203241401. The next prime is 1205203241449. The reversal of 1205203241440 is 441423025021.

It is a junction number, because it is equal to n+sod(n) for n = 1205203241399 and 1205203241408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205203241449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20110509 + ... + 20170348.

It is an arithmetic number, because the mean of its divisors is an integer number (34258869729).

Almost surely, 2^{1205203241440} is an apocalyptic number.

1205203241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205203241440 is an abundant number, since it is smaller than the sum of its proper divisors (2083648252544).

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

1205203241440 is a wasteful number, since it uses less digits than its factorization.

1205203241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40280900 (or 40280892 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 1205203241440 its reverse (441423025021), we get a palindrome (1646626266461).

The spelling of 1205203241440 in words is "one trillion, two hundred five billion, two hundred three million, two hundred forty-one thousand, four hundred forty".