312233453221440 has 224 divisors, whose sum is σ = 992828162468736. Its totient is φ = 83137407139840.

The previous prime is 312233453221423. The next prime is 312233453221447. The reversal of 312233453221440 is 44122354332213.

It is not an unprimeable number, because it can be changed into a prime (312233453221447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4246708519 + ... + 4246782041.

Almost surely, 2^{312233453221440} is an apocalyptic number.

312233453221440 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 312233453221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496414081234368).

312233453221440 is an abundant number, since it is smaller than the sum of its proper divisors (680594709247296).

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

312233453221440 is a wasteful number, since it uses less digits than its factorization.

312233453221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80117 (or 80107 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 312233453221440 in words is "three hundred twelve trillion, two hundred thirty-three billion, four hundred fifty-three million, two hundred twenty-one thousand, four hundred forty".