221042653150540 has 192 divisors, whose sum is σ = 534858486494976. Its totient is φ = 76106392547328.

The previous prime is 221042653150537. The next prime is 221042653150559. The reversal of 221042653150540 is 45051356240122.

It is a junction number, because it is equal to n+sod(n) for n = 221042653150493 and 221042653150502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47538474 + ... + 51980686.

It is an arithmetic number, because the mean of its divisors is an integer number (2785721283828).

Almost surely, 2^{221042653150540} is an apocalyptic number.

221042653150540 is a gapful number since it is divisible by the number (20) 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 221042653150540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267429243247488).

221042653150540 is an abundant number, since it is smaller than the sum of its proper divisors (313815833344436).

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

221042653150540 is a wasteful number, since it uses less digits than its factorization.

221042653150540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442468 (or 4442466 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 221042653150540 in words is "two hundred twenty-one trillion, forty-two billion, six hundred fifty-three million, one hundred fifty thousand, five hundred forty".