312441320400 has 480 divisors, whose sum is σ = 1175710464000. Its totient is φ = 70076620800.

The previous prime is 312441320393. The next prime is 312441320413. The reversal of 312441320400 is 4023144213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13227801 + ... + 13251399.

It is an arithmetic number, because the mean of its divisors is an integer number (2449396800).

Almost surely, 2^312441320400 is an apocalyptic number.

312441320400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312441320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587855232000).

312441320400 is an abundant number, since it is smaller than the sum of its proper divisors (863269143600).

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

312441320400 is a wasteful number, since it uses less digits than its factorization.

312441320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23707 (or 23696 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312441320400 its reverse (4023144213), we get a palindrome (316464464613).

The spelling of 312441320400 in words is "three hundred twelve billion, four hundred forty-one million, three hundred twenty thousand, four hundred".