221693966807040 has 2496 divisors, whose sum is σ = 1026751626777600. Its totient is φ = 44310664839168.

The previous prime is 221693966807039. The next prime is 221693966807087. The reversal of 221693966807040 is 40708669396122.

221693966807040 is a `hidden beast` number, since 2 + 2 + 1 + 69 + 396 + 6 + 80 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12428873002 + ... + 12428890838.

Almost surely, 2^{221693966807040} is an apocalyptic number.

221693966807040 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 221693966807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513375813388800).

221693966807040 is an abundant number, since it is smaller than the sum of its proper divisors (805057659970560).

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

221693966807040 is a wasteful number, since it uses less digits than its factorization.

221693966807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17927 (or 17886 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 221693966807040 in words is "two hundred twenty-one trillion, six hundred ninety-three billion, nine hundred sixty-six million, eight hundred seven thousand, forty".