312343021010400 has 288 divisors, whose sum is σ = 1024554454318080. Its totient is φ = 82646731591680.

The previous prime is 312343021010357. The next prime is 312343021010401. The reversal of 312343021010400 is 4010120343213.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312343021010401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607896004 + ... + 608409596.

It is an arithmetic number, because the mean of its divisors is an integer number (3557480744160).

Almost surely, 2^{312343021010400} is an apocalyptic number.

312343021010400 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 312343021010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512277227159040).

312343021010400 is an abundant number, since it is smaller than the sum of its proper divisors (712211433307680).

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

312343021010400 is a wasteful number, since it uses less digits than its factorization.

312343021010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515578 (or 515565 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312343021010400 its reverse (4010120343213), we get a palindrome (316353141353613).

The spelling of 312343021010400 in words is "three hundred twelve trillion, three hundred forty-three billion, twenty-one million, ten thousand, four hundred".