4314844800000 has 1584 divisors, whose sum is σ = 18859339175040. Its totient is φ = 927498240000.

The previous prime is 4314844799981. The next prime is 4314844800037. The reversal of 4314844800000 is 84484134.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3427199371 + ... + 3427200629.

Almost surely, 2^{4314844800000} is an apocalyptic number.

4314844800000 is a gapful number since it is divisible by the number (40) 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 4314844800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9429669587520).

4314844800000 is an abundant number, since it is smaller than the sum of its proper divisors (14544494375040).

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

4314844800000 is a wasteful number, since it uses less digits than its factorization.

4314844800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4314844800000 in words is "four trillion, three hundred fourteen billion, eight hundred forty-four million, eight hundred thousand".