231745440400 has 60 divisors (see below), whose sum is σ = 557233163044. Its totient is φ = 92620800000.

The previous prime is 231745440389. The next prime is 231745440401. The reversal of 231745440400 is 4044547132.

231745440400 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 68778209536 + 162967230864 = 262256^2 + 403692^2 .

It is a super-3 number, since 3×231745440400³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (231745440401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239200 + ... + 721600.

Almost surely, 2^231745440400 is an apocalyptic number.

231745440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231745440400 is an abundant number, since it is smaller than the sum of its proper divisors (325487722644).

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

231745440400 is a wasteful number, since it uses less digits than its factorization.

231745440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483620 (or 483609 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 231745440400 its reverse (4044547132), we get a palindrome (235789987532).

The spelling of 231745440400 in words is "two hundred thirty-one billion, seven hundred forty-five million, four hundred forty thousand, four hundred".