312353240400 has 90 divisors (see below), whose sum is σ = 1083952521470. Its totient is φ = 83294196480.

The previous prime is 312353240383. The next prime is 312353240443. The reversal of 312353240400 is 4042353213.

312353240400 is a `hidden beast` number, since 3 + 1 + 235 + 3 + 24 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4847501376 + 307505739024 = 69624^2 + 554532^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43378795 + ... + 43385994.

Almost surely, 2^312353240400 is an apocalyptic number.

312353240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312353240400 is an abundant number, since it is smaller than the sum of its proper divisors (771599281070).

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

312353240400 is a wasteful number, since it uses less digits than its factorization.

312353240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86764813 (or 86764799 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 312353240400 its reverse (4042353213), we get a palindrome (316395593613).

The spelling of 312353240400 in words is "three hundred twelve billion, three hundred fifty-three million, two hundred forty thousand, four hundred".