221075074040 has 64 divisors (see below), whose sum is σ = 527331189600. Its totient is φ = 83125178368.

The previous prime is 221075073991. The next prime is 221075074063. The reversal of 221075074040 is 40470570122.

It is a junction number, because it is equal to n+sod(n) for n = 221075073988 and 221075074006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349187 + ... + 751053.

Almost surely, 2^221075074040 is an apocalyptic number.

221075074040 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 221075074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263665594800).

221075074040 is an abundant number, since it is smaller than the sum of its proper divisors (306256115560).

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

221075074040 is a wasteful number, since it uses less digits than its factorization.

221075074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402704 (or 402700 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The spelling of 221075074040 in words is "two hundred twenty-one billion, seventy-five million, seventy-four thousand, forty".