7218894240000 has 405 divisors, whose sum is σ = 26020610679063. Its totient is φ = 1924178688000.

The previous prime is 7218894239917. The next prime is 7218894240001. The reversal of 7218894240000 is 424988127.

The square root of 7218894240000 is 2686800.

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

7218894240000 is a `hidden beast` number, since 7 + 218 + 8 + 9 + 424 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 565961308416 + 6652932931584 = 752304^2 + 2579328^2 .

It is a super-2 number, since 2×7218894240000² (a number of 27 digits) contains 22 as substring.

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 (7218894240001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3224158881 + ... + 3224161119.

Almost surely, 2^{7218894240000} is an apocalyptic number.

7218894240000 is the 2686800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7218894240000

7218894240000 is an abundant number, since it is smaller than the sum of its proper divisors (18801716439063).

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

7218894240000 is an frugal number, since it uses more digits than its factorization.

7218894240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 7218894240000 in words is "seven trillion, two hundred eighteen billion, eight hundred ninety-four million, two hundred forty thousand".