312411144400 has 60 divisors (see below), whose sum is σ = 753708456000. Its totient is φ = 124441555840.

The previous prime is 312411144389. The next prime is 312411144401. The reversal of 312411144400 is 4441114213.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312411144401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1538350 + ... + 1729549.

It is an arithmetic number, because the mean of its divisors is an integer number (12561807600).

Almost surely, 2^312411144400 is an apocalyptic number.

It is an amenable number.

312411144400 is an abundant number, since it is smaller than the sum of its proper divisors (441297311600).

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

312411144400 is a wasteful number, since it uses less digits than its factorization.

312411144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268156 (or 3268145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 312411144400 its reverse (4441114213), we get a palindrome (316852258613).

The spelling of 312411144400 in words is "three hundred twelve billion, four hundred eleven million, one hundred forty-four thousand, four hundred".