4273216212672 has 336 divisors, whose sum is σ = 13867015378944. Its totient is φ = 1293957504000.

The previous prime is 4273216212647. The next prime is 4273216212677. The reversal of 4273216212672 is 2762126123724.

4273216212672 is a `hidden beast` number, since 4 + 2 + 7 + 321 + 62 + 1 + 267 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4273216212677) 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, 251638422 + ... + 251655402.

It is an arithmetic number, because the mean of its divisors is an integer number (41270879104).

Almost surely, 2^{4273216212672} 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 4273216212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933507689472).

4273216212672 is an abundant number, since it is smaller than the sum of its proper divisors (9593799166272).

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

4273216212672 is a wasteful number, since it uses less digits than its factorization.

4273216212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18490 (or 18468 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 4273216212672 in words is "four trillion, two hundred seventy-three billion, two hundred sixteen million, two hundred twelve thousand, six hundred seventy-two".