4217272960000 has 495 divisors, whose sum is σ = 11265402383697. Its totient is φ = 1577164800000.

The previous prime is 4217272959997. The next prime is 4217272960009. The reversal of 4217272960000 is 692727124.

The square root of 4217272960000 is 2053600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2059523490816 + 2157749469184 = 1435104^2 + 1468928^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4217272960009) 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 44 ways as a sum of consecutive naturals, for example, 27928959925 + ... + 27928960075.

Almost surely, 2^{4217272960000} is an apocalyptic number.

4217272960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4217272960000 is the 2053600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4217272960000

4217272960000 is an abundant number, since it is smaller than the sum of its proper divisors (7048129423697).

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

4217272960000 is an frugal number, since it uses more digits than its factorization.

4217272960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 4217272960000 in words is "four trillion, two hundred seventeen billion, two hundred seventy-two million, nine hundred sixty thousand".