312010441400 has 96 divisors (see below), whose sum is σ = 829374193440. Its totient is φ = 106933992960.

The previous prime is 312010441321. The next prime is 312010441429. The reversal of 312010441400 is 4144010213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3728822 + ... + 3811578.

It is an arithmetic number, because the mean of its divisors is an integer number (8639314515).

Almost surely, 2^312010441400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312010441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414687096720).

312010441400 is an abundant number, since it is smaller than the sum of its proper divisors (517363752040).

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

312010441400 is a wasteful number, since it uses less digits than its factorization.

312010441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85473 (or 85464 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 312010441400 its reverse (4144010213), we get a palindrome (316154451613).

The spelling of 312010441400 in words is "three hundred twelve billion, ten million, four hundred forty-one thousand, four hundred".