7222218854400 has 2496 divisors, whose sum is σ = 31284692294400. Its totient is φ = 1613758464000.

The previous prime is 7222218854399. The next prime is 7222218854413. The reversal of 7222218854400 is 44588122227.

7222218854400 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 21 + 88 + 544 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31538073486 + ... + 31538073714.

Almost surely, 2^{7222218854400} 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 7222218854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642346147200).

7222218854400 is an abundant number, since it is smaller than the sum of its proper divisors (24062473440000).

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

7222218854400 is a wasteful number, since it uses less digits than its factorization.

7222218854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 7222218854400 in words is "seven trillion, two hundred twenty-two billion, two hundred eighteen million, eight hundred fifty-four thousand, four hundred".