231440311240400 has 60 divisors (see below), whose sum is σ = 575208980465100. Its totient is φ = 89383844336640.

The previous prime is 231440311240393. The next prime is 231440311240447. The reversal of 231440311240400 is 4042113044132.

231440311240400 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 6 ways, for example, as 18921177623104 + 212519133617296 = 4349848^2 + 14578036^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9975863885 + ... + 9975887084.

It is an arithmetic number, because the mean of its divisors is an integer number (9586816341085).

Almost surely, 2^{231440311240400} is an apocalyptic number.

231440311240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231440311240400 is an abundant number, since it is smaller than the sum of its proper divisors (343768669224700).

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

231440311240400 is a wasteful number, since it uses less digits than its factorization.

231440311240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19951751016 (or 19951751005 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 231440311240400 its reverse (4042113044132), we get a palindrome (235482424284532).

The spelling of 231440311240400 in words is "two hundred thirty-one trillion, four hundred forty billion, three hundred eleven million, two hundred forty thousand, four hundred".