4273910784000 has 3584 divisors, whose sum is σ = 19785169797120. Its totient is φ = 895352832000.

The previous prime is 4273910783959. The next prime is 4273910784007. The reversal of 4273910784000 is 4870193724.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4273910784007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 90934271977 + ... + 90934272023.

It is an arithmetic number, because the mean of its divisors is an integer number (5520415680).

Almost surely, 2^{4273910784000} is an apocalyptic number.

4273910784000 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 4273910784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9892584898560).

4273910784000 is an abundant number, since it is smaller than the sum of its proper divisors (15511259013120).

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

4273910784000 is a wasteful number, since it uses less digits than its factorization.

4273910784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4273910784000 in words is "four trillion, two hundred seventy-three billion, nine hundred ten million, seven hundred eighty-four thousand".